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

Perform the indicated operation to determine if the givensimplification is correct If it is correct select TRUE If it is notcorrect select FALSE1x 3 x 422 7x 12 class=

Respuesta :

We have

[tex]\frac{x+3}{x^2+7x+12}\cdot\frac{x+4}{x+5}[/tex]

First, we will factorize the square term

[tex]\frac{x+3}{\mleft(x+4\mright)(x+3)}\cdot\frac{x+4}{x+5}[/tex]

Then we simplify

[tex]\frac{1}{x+4}\cdot\frac{x+4}{x+5}=\frac{x+4}{(x+4)(x+5)}[/tex]

We simplify

[tex]\frac{1}{(x+5)}[/tex]

As we can see the simplification given is TRUE

ANSWER

TRUE

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