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

`(x+3)/(x^2+7x+12)\cdot(x+4)/(x+5)`

First, we will factorize the square term

`(x+3)/(\mleft(x+4\mright)(x+3))\cdot(x+4)/(x+5)`

Then we simplify

`(1)/(x+4)\cdot(x+4)/(x+5)=(x+4)/((x+4)(x+5))`

We simplify

`(1)/((x+5))`

As we can see the simplification given is TRUE

ANSWER

TRUE