Factor ab + bc + b2 + ac.

(a + b)(b + c)
(a + c)(b + c)
b(a + b)(b + c)

Answers

Answer 1

Answer:

It is (a + b)(b + c)

Step-by-step explanation:

[tex]ab + bc + {b}^{2} + ac[/tex]

arrange the function:

[tex] = (ab + ac) + ( {b}^{2} + bc)[/tex]

factorise out common terms [ a and b ]:

[tex] = a(b + c) + b(b + c)[/tex]

form a bracket of factors:

[tex] = (a + b)(b + c)[/tex]


Related Questions

4/5 as an equivalent fraction in 3 different forms.​

Answers

Answer:

Equivalent fraction of ⅘:

[tex] \frac{4}{5} = \frac{8}{10} = \frac{12}{15} = \frac{16}{20} [/tex]

Help please.
Simplify: 2 + 3i / 4 + 2i

Answers

Answer:

○ [tex]\displaystyle \frac{7 + 4i}{10}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2 + 3i}{4 + 2i} → \frac{2 + 3i[4 - 2i]}{4 + 2i[4 - 2i]} = \frac{14 + 8i}{20} = \boxed{\frac{7}{10} + \frac{2}{5}i}[/tex]

When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.

* Here is something you should know:

[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four][/tex]

I am joyous to assist you at any time.

4. Express the following rational number in its lowest form :
) − 60/72
) − 24/36
)91/364

Answers

Answer:

-60/72 = -5/6

-24/36 = -2/3

91/364 = 45/182

A)-5/6

B)-2/3

C)45/182

17 students on the math team want to raise 483.62 to buy practice books they have already raised 218.25 if each students raises the same amount how much more money must each student raise

Answers

483.62 - 218.25 = 265.37

265.37 / 17 = 15.61

Each student should raise 15.61.

Hope this helps.

Can you write - 14 as a fraction?

Answers

Answer:

-14/1 or 14/-1

Step-by-step explanation:

The fraction for 14 is 14/1

to make it negative, just add a negative sign for numerator or denominator.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Katie is sending flowers to her friend for her birthday. The florist is selling lilies for $0.60 each and the delivery fee is $7.50. She has $16.50 to spend on the flowers. Write the equation to solve this.

Answers

Answer

16.50=0.6l+7.50

Step-by-step explanation:

L is for the amount of lillies

solve for X...........​

Answers

Answer: First Choice. no solution

Step-by-step explanation:

Given

5 (x + 1) ≤ 5x + 3

Expand parentheses and apply the distributive property

5x + 5 ≤ 5x + 3

Subtract 5x on both sides

5x + 5 - 5x ≤ 5x + 3 - 5x

5 ≤ 3

5 ≤ 3 is not true, therefore, there is no solution.

Hope this helps!! :)

Please let me know if you have any questions

Please help me with A B and C

Answers

Answer:

b)A box from all 4 sides increases as the number increase

c)

Step-by-step explanation:

a+(n-1)d

a-first terms

d- difference

5+(n-1)4

5+4n-4

4n+1(the nth term)

so for 50th

its 4*50+1

Answer is 201 tiles

Hope this helps you :))

4. what are two other ways to name plane v

Answers

Answer:

Plane ANM and Plane XNM.

Step-by-step explanation:

Write an algebraic expression for the following phrase: 3 more than twice a number O 3x + 2 O3+2+ x 02x3 2x+3​

Answers

Answer:

2x+3

Step-by-step explanation:

2x is twice a number and +3 is three more than that number.

PLEASE HELP GIVIBG BRAINIEST AWNSER WORTH 32 POINTS





A cell phone company offers two different monthly plans.
Plan A costs a flat rate of $0.10 per minute for all calls. Plan B costs $29.99 for
the first 500 minutes and $0.08 for each additional minute. Which plan is less
costly if a person uses 750 minutes per month? Explain.

Answers

Answer:

The Best is B = 44.985

Step-by-step explanation:

(A)First thing is that 0.10 times 750 is 75$

(B)but the 29.99 divided buy 500 equal 0.05998.

then you multiplier by 750 which equal 44.985.

this is the best way I hope this helps :)

Write a word problem that could be solved by the equation in problem 8 .
3 1/2 [tex]3 1/2 divided by 7/8= 7/2*8/7= 56/14 =4[/tex]

Answers

The word problem is " In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there".

The given expression is 8÷2/3

We need write a word problem which is solved by the above expression.

Word problem : In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there.

Solution

[tex]x[/tex]* × 2/3 =8

Divide both sides by 2/3.

x=8/2/3

x= 8×3 / 2

x= 12

Therefore, the total number of students is 12.

factorize 6(a+1)²+4(a+1)​

Answers

Answer:

[tex]2(a + 1) \times (3a + 5)[/tex]

Step-by-step explanation:

[tex]6(a + 1 {)}^{2} + 4(a + 1)[/tex]

➡️ [tex]2(a + 1) \times (3(a + 1) + 2)[/tex]

➡️ [tex]2(a + 1) \times (3a + 3 + 2)[/tex]

➡️ [tex]2(a + 1) \times (3a + 5)[/tex]

2 = 2.27 - m/4

I am so bad at math, lol! ^^ HELP ME PWEASE!

Answers

Answer:

m = 1.08

Step-by-step explanation:

Subtract 2.27 from both sides.

2 - 2.27 = -m/4

Simplify  2 - 2.27 to  -0.27.

-0.27 = -m/4

Multiply both sides by 4

-0.27 × 4 = -m

Simplify  -0.27 × 4 to -1.08.

-1.08 = -m

Multiply both sides by -1 (-m is also known as -1)

1.08 =m

Answer:

m = 1.08

Step-by-step explanation:

Basically, we can start off by finding the difference between 2 and 2.27(which is 0.27). Then we can see that 0.27 is equal to m/4. Since 0.27*4=1.08, we can see that m=1.08.

Simplify. (4x^2 - 2x) (-3x^2 - 4x^2 +1)
A) -12x^5 - 10x^4 + 8x^3 + 4x^2 -2x
B) -12x^5 -22x^4 - 8x^3 + 4x^2 - 2x
C) 12x^5 - 10x^4 +8x^3 + 4x^2 -2x
D) 12x^5 - 22x^4 - 8x^3 + 4x^2 - 2x

Answers

Answer:  Is the equation enered correctly?  

1.  The second term, (-3x^2-4x^2+1) is the same as (-7x^2 + 1)

2.  I don't see how the answer could contain an x^5 term.  The largest I see from the information is x^4

Step-by-step explanation:

(−2x + 8) + (−8x^2− 8x)

Answers

Answer:

-8x^2 -10x + 8

Step-by-step explanation:

there is no multiplying just adding

I’m struggling.help please.

Answers

Answer:

21,23,25,27,29... and etc

Step-by-step explanation:

13,15,17,19, your going by 2, so.. 21,23,25,27,29. and counties. I don't know how long it goes but there you go hopefully this helps <3.

Answer:

2n + 11

Step-by-step explanation:

2(1) + 11 = 13

2(2) + 11 = 15

2(3) + 11 = 17

the 2 is the constant difference between the first 2 terms.

the numbers in brackets are the term number.

you have to multiply the difference with the term number.

then you will have to take that answer and subtract it from the first term number.

hope it helps xxx

what is the commutative property in "r+v"
PLEASE ANSWER QUICKLY if you can

Answers

Answer:

[tex]we \: know \: commutative \: prop \\ \: x + y = y + x \\ then \: r + v = v + r \\ thank \: you[/tex]

f(x) = 1/x; Find f (1/10)​

Answers

Answer:

f(1/10)=10

Step-by-step explanation:

f(x) = 1/x

f (1/10)​=1/(1/10)=1·(10/1)=10

70410539 in standard form!

Answers

70,410,539 in standard form is 7.0410539 × 10^8

70410539 • 10^0 ……………

It is angle measure please help

Answers

Opposite angles are equal

[tex]\\ \rm\longmapsto m+357=4m+6[/tex]

[tex]\\ \rm\longmapsto 357-6=4m-m[/tex]

[tex]\\ \rm\longmapsto 3m=351[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{351}{3}[/tex]

[tex]\\ \rm\longmapsto m=117[/tex]

I WILL GIVE 50 POINTS (WOW IKR 50) TO PEOPLE WHO GET THIS RIGHT. NO SCAMMING PLEASE

Answers

the answer is 232 units.

Answer:

232 units

Step by step explanation

2 times a number is 12.
How do you right that in equation form

Answers

Answer:

2 * x = 12

Step-by-step explanation:

Answer:

2x = 12

Step-by-step explanation:

let the number be x then 2 times the number is 2x. so

2x = 12 ← in equation form

Estimate the sales tax and final cost of a book that costs $12.95 with a sales tax
of 6%.

Answers

Step-by-step explanation:

1.06 × 12.95

13.727

which is 13.73 to find the sales tax subtract it from the original

12.95 - 13.73

which is about 28 cents or 0.28

solutions to the quadratic equation x^2+3x-28=0

Answers

Answer:

look on the graph

Step-by-step explanation:

the solutions are x = -7 and x=4

Answer:

x = -7 ; x=4

Step-by-step explanation:

The easiest way to solve this would be using the quadratic formula, so let's go ahead with that :)

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-28\right)}}{2\cdot 1}\\x=\frac{-3\pm \sqrt{121} }{2} \\\\x=\frac{-3\pm 11}{2} \\\\x=\frac{-3-11}{2} , x=\frac{-3+11}{2} \\x=-7, x=4[/tex]

WILL GIVE BRAINLIEST TO WHOEVER CAN EXPLAIN:
True or False-in scientific notation when you move the decimal point left is it positive.

Answers

Answer:

false.

Step-by-step explanation:

just cause you move a decimal point to the left dosent mean its positive.

How many quarts of water should be added to 6
quarts of 80% antifreeze solution to dilute it down
to 30%?

Answers

Answer:

Step-by-step explanation:

Evaluate the expression, given functions f and h:  

f(x) = 3x − 1,

 

h(x) = −2x2 + 3x − 2.

f  

7

3

− h(−2)

Find the value of A, if ∛500 × A =10

Answers

Hope it helpsssss !!!!!!!

Answer:

A = 10 / 500 ^ (1/3)

A = 10 / 7.9370052598

A = 1.2599210499

Step-by-step explanation:

The price of a share of stock changed by – $19.50 over a 5-day period. What was the average daily.
change in the price of a share of the stock?

Answers

Answer:

-19.5/5 = 3.9 so answer is $3.9 per day

simplify:
3/2 x 5/3 ÷ (-2+7)

Answers

Answer:

-1/2

Step-by-step explanation:

3/2 x 5/3 ÷ (-2+7)

=> 3/2 x 5/3 ÷ (-5)

=> 3/2 x 5/3 x (-1/5)

=> -1/2

Other Questions
2 [3 (7-5) + 4 (8 + 2)] Can someone help me with questions 20 and 21? Questions 21 has part A and B by the way! Ill appreciate the help! When did world war 2 starts 1. If a = -1 , the value of3a + 1 is Solve each for X. Show your work1). 1/2x - 1/4 = 3/5x + 22). 10-1/2x = 6 + 3x You should take the train instead of the bus.-> If Write 3 x 6 in the form b 2 where b is an integer. which of the following is not considered a productive resource Define the Proclamation Act of 1763 1. What is the actual distance around the garden? Explain your reasoning.2. It took Clare 30 minutes to walk around the garden at a constant speed. At what speed was she walking? Explain your reasoning. Which word from the text would NOT be considered a cognate? A) journaliste B) une course C) tape D) complte ii They They did the task. (Negative) iii Hari and his friends worked for the society (past continuous)iv Sarita went to the orchild (future continuous)v I haven't done my homework yet (affirmative) but what is the anwser who united upper and lower egypta. khufub. gilgameshc. menes narmard. osiris what is trigonometry??????? A total of 574 tickets were sold for the school play. They were either adult tickets or student tickets. There were 74 more student tickets sold than adult tickets. How many adult tickets were sold?411 is not correct Write a friendly letter to your teacher and tell her/him about the concerns you have regarding the rotation time table guiding your attendance at school. I need some help with the homework problem. I have a list of formulas, but can't seem to get it done.[tex]\int\frac{9}{\sqrt{1+e^{2x}}} \, dx[/tex]I started by taking the constant out and setting u = [tex]\sqrt{1+e^{2x\\}}[/tex]After this I can't seem to progress. What is the correct clases for this drugs Compazine heelp me please What do you think the cream parts of the thematic map show us in Source D?