What is the simplest form of the expression representing this product?

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02-05-2022
Mathematics

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What is the simplest form of the expression representing this product?

Sagot :

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sqdancefan sqdancefan · Answer 1 · 2022-05-02T04:48:06-04:00

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]

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