Question

What is (x+4)(3x+7)/(x+4)(x+2) simplified?

Answer 1

Answer:

$\frac{3x+7}{x+2}$

Step-by-step explanation:

Given the following question:

$\frac{(x+4)(3x+7)}{(x+4)(x+2) }$

In order to simplify the expression given we can only cancel the common factor which is four.

$\frac{(x+4)(3x+7)}{(x+4)(x+2) }$
$cf=(x+4)$
$\frac{x+4}{x+4}$
$=\frac{3x+7}{x+2}$

Cannot be simplified further due to it not having any more common factors. Your answer is "3x + 7 / x + 2."

Hope this helps.

Answer 2

Answer:

( 3x+7 ) / ( x+2 )

Step-by-step explanation:

\frac{(x+4)(3x+7)}{(x+4)(x+2)}

When you set up the equation like a fraction, you can now cancel out like terms. (x+4) is in the denominator- as well as the numerator. They are the same in parentheses. So you can cancel. Once that's done, you'll be left with

\frac{3x+7}{x+2}

You cant simplify any further because there are no more (like groups) aka (common factors)

( 3x+7 ) / ( x+2 )