Adding & Subtracting Rational Expressions

What is the first step in adding or subtracting expressions with unlike bases?

• Make the denominators the same by finding the LCD

• Combine like terms

• Simplify each expression separately

• Multiply the numerators

Tags

CCSS.HSA.APR.D.7

Tags

CCSS.HSA.APR.D.7

Perform the indicated operation and simplify:  $\frac{6}{x-7}+\frac{1}{x^2-49}$  

•  $\frac{6x+8}{\left(x+7\right)\left(x-7\right)}$  

•  $\frac{6x-41}{\left(x+7\right)\left(x-7\right)}$  

•  $\frac{6x+43}{\left(x+7\right)\left(x-7\right)}$  

•  $\frac{6x+7}{\left(x+7\right)\left(x-7\right)}$  

Tags

CCSS.HSA.APR.D.7

Add
 $\frac{2x}{x^2-36}+\frac{x+4}{x+6}$  

•  $\frac{x^2-24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6$  

•  $\frac{x^3+6x^2-24x}{\left(x+6\right)\left(x^2-36\right)};\ x\ne-6,\ 36$  

•  $\frac{x^2+2x-24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6$  

•  $\frac{x^2+12x+24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6$  

Tags

CCSS.HSA.APR.D.7

Tags

CCSS.HSA.APR.D.7

Tags

CCSS.HSA.APR.D.7

Tags

CCSS.HSA.APR.D.7