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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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Find the quotient: -10/9 divided by -5/7
Dmitry [639]

Answer:

70/45

Step-by-step explanation:

(-10/9) divided by (-5/7)  = (-10/9) / (-5/7)

dividing two fractions is the same as multiplying the top fraction by the reciprocal of the bottom one

top fraction = -10/9

bottom fraction = -5/7

reciprocal just means switching the numerator and denominator

reciprocal of bottom fraction = 7 / -5 = -7/5

thus,

(-10/9) / (-5/7) = (-10/9) * reciprocal of (-5/7) = (-10/9) * (-7/5) = 70/45

note that to multiply two fractions, you just multiply the numerators to get your new numerator and do the same thing with the denominators

6 0
2 years ago
Bucket A started with 8 cups of water and is leaking at a rate of 2.5 cups per minute. Bucket B started with 5 cups and is leaki
Minchanka [31]

Answer:

2/3 min

Step-by-step explanation:

We can write these as equations

so 8-2.5x=5-0.5x

We isolate x by subtracting both sides by 5

3-2.5x=0.5x

add 2.5x to both sides

3=2x

divide both sides by 2

x=2/3min

(plz give brainliest)

8 0
3 years ago
Need an answer for expand and simplify bracket quickly please <br><img src="https://tex.z-dn.net/?f=%20-%202%28p%20-%204%29%28p%
34kurt

Answer:

-p^2+32

Step-by-step explanation:

Start by expanding the -2 into the (p-4) bracket using the distributive method:

-2(p-4)\\-2p + 8

Now, expand the result into the remaining bracket:

(-2p + 8)(p+4)\\-2p^2 -8p+8p+32\\-2p^2 + 32

8 0
2 years ago
Analyze is the product of 0.4×1.8 greater than or less than 0.4?please explain to me
AnnZ [28]
Remember that multiplying is how many times you add a number to itself. If you multiply by 3, you add the first number to itself 3 times.

When you multiply a given number by 1, you get the first number (it doesn't change).

When you multiply by a number less than one, say, one half, you'll end up with half of the original number --> a smaller number.

When you multiply a number by more than one, you will get a number bigger than the original because you are adding it to itself more than once. Even if it is a fraction or decimal, if it is greater than 1, then the new product will be larger than the original number.

Hope this helps! :)

7 0
3 years ago
I need help. Thank you.
Oduvanchick [21]

Answer:

D

A=-5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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