Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

What Is The Simplest Form Of The Expression Representing This Product class=

Sagot :

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.

__

  [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]