Question

Multiply. State any restrictions on the variable. x^2+6x-16—————— • 2x +8 ————- x+9x^2+2x-8Simplify the rational expression.

Answer 1

`(2(x+8))/(x+9)`

Step-by-step explanation:

Canceling out terms:

`(x^2+6x-16)/(x^2+2x-8)=(x+8)/(x+4)`

Rewriting the equation:

`\begin{gathered} (x+8)/(x+4)*(2x+8)/(x+9)=((x+8)(2x+8))/((x+4)(x+9))=((x+8)2(x+4))/((x+4)(x+9))=(2(x+8))/((x+9)) \\ \end{gathered}`