Question

What is the quotient of the rational expression below?

Answer 1

first answer

Explanation:

Hello, you know that

`((a)/(b))/((c)/(d))=(a)/(b)\cdot (d)/(c)`

So, the quotient we need to estimate is

`\begin{aligned}(x^2-36)/(x+8)\cdot(4x+32)/(x^2+12x+36)&=(x^2-6^2)/(x+8)\cdot (4(x+8))/((x+6)^2)\\\\&=(4(x-6)(x+6))/((x+6)^2)\\\\&=(4(x-6))/(x+6)\end{aligned}`

Thank you