Respuesta :

Answer:

[tex]\frac{3x+7}{x+2}[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{(x+4)(3x+7)}{(x+4)(x+2) }[/tex]

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

[tex]\frac{(x+4)(3x+7)}{(x+4)(x+2) }[/tex]
[tex]cf=(x+4)[/tex]
[tex]\frac{x+4}{x+4}[/tex]
[tex]=\frac{3x+7}{x+2}[/tex]

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

Hope this helps.

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 )