Question

Simplify completely x^2+12x+35/3x+15

Answer 1

>36x/3•1 + 35x/3
>36x + 35x/3
>71/3x
* Simplified. x^2+71/3x+15

Answer 2

`(x+7)/(3)`

Explanation:

Given rational expression:

`(x^2+12x+35)/(3x+15)`

Factor the numerator of the given expression:

`\begin{aligned}x^2+12x+35&=x^2+7x+5x+35\\&=x(x+7)+5(x+7)\\&=(x+7)(x+5)\end{aligned}`

Factor the denominator of the given expression:

`3x+15=3(x+5)`

Therefore:

`(x^2+12x+35)/(3x+15)=((x+7)(x+5))/(3(x+5))`

Cancel the common factor (x + 5):

`(x+7)/(3)`