Question

multiply and simplify: $\frac{x + 10}{x + 2}cdot\frac{8x + 16}{9x + 90}$
enter the numerator and denominator separately in the boxes below. if the denominator is 1, enter the number 1. do not leave either box blank. answer:

Explanation:

Step1: Factor the expressions

Factor out common factors. $8x + 16=8(x + 2)$ and $9x + 90=9(x + 10)$. So the expression becomes $\frac{x + 10}{x + 2}\cdot\frac{8(x + 2)}{9(x + 10)}$.

Step2: Multiply the fractions

Multiply the numerators together and denominators together: $\frac{(x + 10)\times8(x + 2)}{(x + 2)\times9(x + 10)}$.

Step3: Cancel out common factors

Cancel out the common factors $(x + 10)$ and $(x + 2)$ in the numerator and denominator. We get $\frac{8}{9}$.

Answer:

8
9