Respuesta :

Given:

[tex]\frac{x+10}{x^2+7x-18}\cdot\frac{3x^2-12x+12}{3x+30}[/tex]

Required:

To simplify the given expression.

Explanation:

Consider the given exapression

[tex]\frac{x+10}{x^{2}+7x-18}\cdot\frac{3x^{2}-12x+12}{3x+30}[/tex][tex]=\frac{x+10}{(x-2)(x+9)}\cdot\frac{3(x-2)(x-2)}{3(x+10)}[/tex][tex]=\frac{x-2}{x+9}[/tex]

Final Answer:

The simplification of the given expression is

[tex]=\frac{x-2}{x+9}[/tex]