11-1: Simplifying Rational Expressions

When simplifying rational expressions, once we FACTOR, we can only CANCEL what type of expressions?

• monomial pieces with binomial pieces

• monomials with monomials AND identical binomials with whole, identical binomials

Tags

CCSS.HSA.APR.D.6

SIMPLIFY!

 $\ \frac{x^8y^{12}}{x^4y^{15}}$  

•  $\frac{x^4}{y^3}$  

•  $\frac{x^{12}}{y^3}$  

•  $x^{12}y^{27}$  

•  $\frac{y^3}{x^4}$  

Tags

CCSS.HSA.APR.A.1

SIMPLIFY!

 $\ \frac{5a^3c^{10}}{20a^5c^4}$  

•  $\frac{4c^6}{a^2}$  

•  $\frac{1a^2c^6}{4}$  

•  $\frac{1c^6}{4a^2}$  

•  $\frac{1a^2}{4c^6}$  

Tags

CCSS.HSA.APR.A.1

SIMPLIFY!

 $\ \frac{-30x^5y^8}{6x^5y^9}$  

•  $\frac{1}{5y}$  

•  $-5y$  

•  $-5x^{10}y^{17}$  

•  $\frac{-5}{y}$  

SIMPLIFY!

 $\ \frac{x^2+6x-7}{x^2-49}$  

•  $\frac{x-1}{x+7}$  

•  $\frac{x+1}{x+7}$  

•  $\frac{x-1}{x-7}$  

•  $\frac{x+1}{x-7}$  

Tags

CCSS.HSA.APR.D.6

SIMPLIFY!

 $\ \frac{x^2+6x}{x^2+3x-18}$  

•  $\frac{x}{x+3}$  

•  $\frac{x}{x-3}$  

•  $\frac{x+6}{x-3}$  

•  $\frac{x}{x+6}$  

Tags

CCSS.HSA.APR.D.6

SIMPLIFY!

 $\frac{x^2+7x+10}{x^2-4}$  

•  $\frac{x-5}{x+2}$  

•  $\frac{x-5}{x-2}$  

•  $\frac{x+5}{x+2}$  

•  $\frac{x+5}{x-2}$  

Tags

CCSS.HSA.APR.D.6

SIMPLIFY!

 $\ \frac{x^2-25}{x^2-6x+5}$  

•  $\frac{x+5}{x-1}$  

•  $\frac{x-5}{x-1}$  

•  $\frac{x+5}{x+1}$  

•  $\frac{x-5}{x+1}$  

Tags

CCSS.HSA.APR.D.6

SIMPLIFY!

 $\frac{x^2+7x+12}{x^2+4x}$  

•  $\frac{x+3}{x+4}$  

•  $\frac{x-3}{x}$  

•  $\frac{x+3}{x}$  

•  $\frac{x+3}{x^2}$  

Tags

CCSS.HSA.APR.D.6

SIMPLIFY!

 $\ \frac{2x^2-8x-90}{x^2-81}$  

•  $\frac{2\left(x+5\right)}{x-9}$  

•  $\frac{2\left(x+5\right)}{x+9}$  

•  $\frac{2}{\left(x+9\right)\left(x-9\right)}$  

•  $\frac{2\left(x-5\right)}{x+9}$  

Tags

CCSS.HSA.APR.D.6