Operations on rational algebraic expressions

Multiply the two rational expressions and simplify the result:

 $\frac{x^2-5x+6}{x^2-4}\cdot\frac{x^2-3x+2}{x^2-9}$  

•  $\frac{x^2-3x-2}{x^2+5x-6}$  

•  $\frac{x-1}{x^2+5x+6}$  

•  $\frac{x^2+3x-2}{x^2-5x+6}$  

•  $\frac{x^2-3x+2}{x^2+5x+6}$  

Multiply.

• x + 5

• x - 5

• x + 5 / x - 5

• 2x - 1

Multiply and Simplify

• (n-10)/8n+56

• (n-10)(n+7)/8n+56

• (n-10)/8

• (n+10)/8

13) State any restrictions on the variable.

 $\frac{x^2-5x}{x^2+3x}\cdot\frac{x+3}{x-5}$  

•  $x\ne0,5$  

•  $x\ne-3,5$  

•  $x\ne\pm\sqrt{3},5$  

•  $x\ne-3,0,5$  

MULTIPLY the rational expressions:

 $\frac{4\left(x+5\right)}{\left(x-9\right)}\cdot\frac{\left(x-9\right)}{\left(x+5\right)\left(x-3\right)}$  

•  $\frac{4}{x+5}$  

•  $\frac{4\left(x+5\right)}{x-3}$  

•  $\frac{4}{x-3}$  

•  $\frac{x+5}{x-9}$  

When we multiply rational expressions we multiply...

• Straight across

• Diagonally

Multiply the Rational Expression $\frac{8}{n-2}\cdot\frac{5n+50}{n+10}$  

•  $n+4$  

•  $n-4$  

•  $\frac{n+4}{5}$  

•  $\frac{40}{n-2}$  

SIMPLIFY.
 $\frac{\left(x-3\right)\left(x-2\right)}{\left(x+2\right)\left(x-2\right)}\cdot\frac{\left(x+6\right)\left(x+5\right)}{\left(x+5\right)\left(x-3\right)}$  

•  $\frac{x+6}{x+2}$  

•  $\frac{x+2}{x+6}$  

•  $\frac{\left(x-3\right)}{\left(x+2\right)}\cdot\frac{\left(x+6\right)}{\left(x-3\right)}$