Answer:
(x-2)/(x+9)
Step-by-step explanation:
The simplest form of a rational expression is one in which the numerator and denominator have no common factors. The product of two rational expressions is computed in the usual way: the numerator is the product of the numerators, and the denominator is the product of the denominators.
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[tex]\dfrac{x+10}{x^2+7x-18}\cdot\dfrac{3x^2-12x+12}{3x+30}=\dfrac{3(x+10)(x-2)^2}{3(x+9)(x-2)(x+10)}\\\\=\boxed{\dfrac{x-2}{x+9}}[/tex]