Question

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

Answer 1

$\frac{2(x+8)}{x+9}$

Explanation:

Canceling out terms:

$\frac{x^2+6x-16}{x^2+2x-8}=\frac{x+8}{x+4}$

Rewriting the equation:

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