Adding and Subtracting Rational Functions

 $\frac{4}{x+3}+\frac{7}{x+3}$  

•  $\frac{11}{x+3}$  

•  $\frac{11}{2x+6}$  

•  $\frac{28}{x^2+6x+9}$  

•  $\frac{11}{x^2+9}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\frac{13}{2x-5}-\frac{5}{2x-5}$  

•  $\frac{18}{2x-5}$  

•  $\frac{8}{2x-5}$  

•  $\frac{65}{4x^2-20x+25}$  

•  $\frac{7}{4x-10}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{5x}{x-6}+\frac{1}{x-6}$  

•  $\frac{5x+1}{x-6}$  

•  $\frac{6x}{x-6}$  

•  $\frac{5x}{x-6}$  

•  $\frac{6x}{2x-12}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{8x}{x+1}-\frac{10x}{x+1}$  

•  $\frac{-80x^2}{x^2+2x+1}$  

•  $\frac{2x^2}{x+1}$  

•  $\frac{18x}{x+1}$  

•  $\frac{-2x}{x+1}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\frac{10}{x-1}+\frac{7}{x+3}$  

•  $\frac{3}{\left(x+3\right)\left(x-1\right)}$  

•  $\frac{17x+23}{\left(x+3\right)\left(x-1\right)}$  

•  $\frac{17x-4}{\left(x+3\right)\left(x-1\right)}$  

•  $\frac{70}{\left(x+3\right)\left(x-1\right)}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\frac{x}{x+8}-\frac{3x}{x+2}$  

•  $\frac{-2x}{\left(x+2\right)\left(x+8\right)}$  

•  $\frac{-2x\left(x+11\right)}{\left(x+2\right)\left(x+8\right)}$  

•  $\frac{-3x^2}{\left(x+2\right)\left(x+8\right)}$  

•  $\frac{2x\left(2x+13\right)}{\left(x+2\right)\left(x+8\right)}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{3}{2x}-\frac{5}{9}$  

•  $\frac{-2}{2x-9}$  

•  $\frac{-10x+27}{18x}$  

•  $\frac{4}{9x}$  

•  $\frac{2}{7x}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{3}{3x}+\frac{x+1}{x+2}$  

•  $\frac{9x+6}{3x\left(x+2\right)}$  

•  $\frac{x+1}{x\left(x+2\right)}$  

•  $\frac{x+4}{3x\left(x+2\right)}$  

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

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{3x-2}{x+2}+\frac{2x}{4x-1}$  

•  $\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}$  

•  $\frac{14x^2-9x-2}{\left(x+2\right)\left(4x-1\right)}\$  

•  $\frac{12x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}\$  

•  $\frac{5x-2}{\left(x+2\right)\left(4x-1\right)}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7