Question

Perform the indicated operation to determine if the givensimplification is correct. If it is correct, select TRUE. If it is notcorrect, select FALSE.1x + 3 x + 422 + 7x + 12 2+5x + 5

Answer 1

We have

$\frac{x+3}{x^2+7x+12}\cdot\frac{x+4}{x+5}$

First, we will factorize the square term

$\frac{x+3}{\mleft(x+4\mright)(x+3)}\cdot\frac{x+4}{x+5}$

Then we simplify

$\frac{1}{x+4}\cdot\frac{x+4}{x+5}=\frac{x+4}{(x+4)(x+5)}$

We simplify

$\frac{1}{(x+5)}$

As we can see the simplification given is TRUE

ANSWER

TRUE