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yawa3891 [41]
3 years ago
15

Which expression is equivalent to (x+1)^2-9/x+4

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
6 0
The answer should be 3x^-7/4x
enot [183]3 years ago
4 0

Answer:

(x-2)

Step-by-step explanation:

Given expression is \frac{(x+1)^2-9}{x+4}

Now we factor the given expression

LEts factor the numerator

(x+1)^2 -9

9 can be written as 3^2

(x+1)^2 - 3^2

Now we apply a^2 - b^2 formula

a^2 - b^2 = (a+b)(a-b)

(x+1)^2 - 3^2 = (x+1+3)(x+1-3)=(x+4)(x-2)

now we replace it in our problem

\frac{(x+1)^2-9}{x+4}=\frac{(x+4)(x-2)}{x+4}

Cancel out x+4 from top and bottom

So answer is (x-2)

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