HW 9.1 Adding and Subtracting Rational Functions

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CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.7

Subtract

 $\frac{x-5}{3x+4}-\frac{3x-5}{3x+4}$  

•  $\frac{-2x-10}{3x+4}\ ,\ -\frac{4}{3}$  

•  $\frac{-2x}{3x+4}\ ,\ x\ne-\frac{4}{3}$  

•  $-2x\ ,\ x\ne0$  

•  $-2x-10\ ,\ x\ne0$  

Tags

CCSS.HSA.APR.D.7

Subtract

 $\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}$  

•  $\frac{x^2-2x-8}{2x+7}\ ,\ x\ne-\frac{7}{2}$ 

•  $x^2-2x-8\ ,\ x\ne0$  

•  $x^2-2x+2\ ,\ x\ne0$  

•  $\frac{x^2-2x+2}{2x+7}\ ,\ \ x\ne-\frac{7}{2}$  

Tags

CCSS.HSA.APR.D.7

Add

 $\frac{3x-2}{x+2}+\frac{2x}{4x-1}$  

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

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

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

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

Tags

CCSS.HSA.APR.D.7

Subtract

 $\frac{x}{2x+3}-\frac{2x+1}{2x-3}$  

•  $\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)}\ ,\ x\ne\pm\frac{2}{3}$  

•  $\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)}\ ,\ x\ne\pm\frac{3}{2}$  

•  $\frac{-2x^2+5x+3}{\left(2x-3\right)\left(2x+3\right)}\ ,\ x\ne\pm\frac{3}{2}$  

•  $\frac{-2x^2+5x+3}{\left(2x-3\right)\left(2x+3\right)}\ ,\ x\ne\pm\frac{2}{3}$  

Tags

CCSS.HSA.APR.D.7

Add

 $\frac{2}{x^2-x-20}+\frac{3}{x^2+7x+12}$  

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

•  $\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-4,\ -3,\ 5$  

•  $\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-5,\ 3,\ 4$  

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

Tags

CCSS.HSA.APR.D.7

Simplify the expression.

• n / 2m

• n / 3m

• (m² + 4n²) / 12m

• n / 4m

Tags

CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.7