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White raven [17]
3 years ago
13

(X^3 + 2x^2-x-2)/(x+2)=?

Mathematics
2 answers:
RideAnS [48]3 years ago
7 0
Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.
(x^3+2x^2)−x−2
—————————
x+2

Factor out the greatest common factor (GCF) from each group.
x^2(x+2)−(x+2)
————————-
x+2



Factor the polynomial by factoring out the greatest common factor, x+2

(x+2)(x^2−1)
———————
x+2

Rewrite 1 as 1^2

(x+2)(x^2−1^2)
————————
x+2

Since both terms are perfect squares, factor using the difference of squares formula, a^2−b^2=(a+b)(a−b) where a=x and b=1 .

(x+2)(x+1)(x−1)
————————
x+2

Cancel the common factor of x+2 .

Divide (x+1)(x−1) by 1.
(x+1)(x−1)

Expand (x+1)(x−1) using the FOIL Method.

Apply the distributive property.
x(x−1)+1(x−1)

Apply the distributive property.
x⋅x+x⋅−1+1(x−1)

Apply the distributive property.
x⋅x+x⋅−1+1x+1⋅−1

Simplify and combine like terms.
Simplify each term.

x^2−x+x−1

Add−x and x .
x^2+0−1

Add x^2 and 0.
x^2−1
ankoles [38]3 years ago
6 0

the correct answer is A.

if u want an explanation I will gladly explain it to you!

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5 0
3 years ago
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Maurinko [17]

The next step of your proof is to subtract (a/b) from both sides.

Then you get, x = (m/n) - (a/b)

Since rationals are closed over addition, (m/n) + (-a/b) is a rational number.

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8 0
3 years ago
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Maksim231197 [3]

<u>Answer:</u>

31 dollars

<u>Step-by-step explanation:</u>

460 miles in total ÷ 23 miles per gallon of fuel = 20 gallons

20 gallons x $1.55 a gallon = $31 dollars

Hopefully this helped! Sorry if wrong! You are loved and you are beautiful/handsome!

-Bee

8 0
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Read 2 more answers
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umka2103 [35]
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18. What is the value of 4k + 6(j – 2) when k = 3<br> and j = 5?
Alexxx [7]

Answer:

30

Step-by-step explanation:

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