Mathematics: How can you simplify x^2 +2x-35/x^2 +4x -21 ? divide the numerator and denominator by (x – 21). divide the numerator and denominator by (x + 7). divide the numerator and denominator by (x – 3). divide the numerator and denominator by (x – 5).

please elaborate!Step-by-step explanation:...

How can you simplify x^2 +2x-35/x^2 +4x -21 ? divide - id223524211081492, kris22elizondop9v1bb

stgsry4003

13.03.2022

"Divide the numerator and denominator by (x + 7)"

B is correct.

Step-by-step explanation:

Given: $\dfrac{x^2+2x-35}{x^2+4x-21}$

We need to simplify the expression into simplest form.

First we factor each numerator and denominator

$\text{Numerator: }x^2+2x-35$

$\Rightarrow x^2+7x-5x-35$

$\Rightarrow (x^2+7x)+(-5x-35)$

$\Rightarrow x(x+7)-5(x+7)$

$\Rightarrow (x+7)(x-5)$

$\text{Denominator: }x^2+4x-21$

$\Rightarrow x^2+7x-3x-21$

$\Rightarrow (x^2+7x)+(-3x-21)$

$\Rightarrow x(x+7)-3(x+7)$

$\Rightarrow (x+7)(x-3)$

We can see (x+7) is common at numerator and denominator.

Divide by (x+7) at numerator and denominator..

Hence, "Divide the numerator and denominator by (x + 7)" to get simplest form.

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