Complex Rational Fractions

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CCSS.HSA.APR.D.6

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CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.6

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CCSS.HSA.APR.D.6

Simplify.
 $\frac{\frac{1}{3a-4}}{\frac{3a-4}{a-2}}$  

•  $\frac{3a^3-4a^2}{a^2-4a+4}$  

•  $\frac{a}{a-2}$  

•  $\frac{3a-4}{a-2}$  

•  $\frac{a-2}{9a^2-24a+16}$  

Tags

CCSS.HSA.APR.D.6

Simplify.
 $\frac{\frac{1}{x}}{\frac{x-1}{16}}$  

•  $\frac{1}{x}$  

•  $\frac{16x-16}{x^3}$  

•  $\frac{16}{x^2-x}$  

•  $\frac{16}{x^2}$  

Tags

CCSS.HSA.APR.D.6

Simplify.
 $\frac{\frac{x+4}{x-1}}{\frac{x+4}{x-1}+\frac{x-1}{x+2}}$  

•  $\frac{-8-x}{x^3+10x^2+32x+32}$  

•  $\frac{x^2+6x+8}{2x^2+4x+9}$  

•  $\frac{2x+3}{x^2+4x+4}$  

•  $\frac{2x^2+7x}{x^2+x-2}$  

Tags

CCSS.HSA.APR.D.6

Simplify.
 $\frac{\frac{x+3}{x-5}}{\frac{5}{x+3}+\frac{5}{x-5}}$  

•  $\frac{x-2}{x^2-2x-15}$  

•  $\frac{5x^2-50x+125}{130-x}$  

•  $\frac{x^2+6x+9}{10x-10}$  

•  $\frac{x^2-2x+110}{125}$  

Tags

CCSS.HSA.APR.D.6

Simplify.
 $\frac{\frac{u}{16}-\frac{9}{4}}{\frac{u^2}{16}+\frac{16}{u^2}}$  

•  $\frac{u^3-36u^2}{u^4+256}$  

•  $\frac{36-u^4}{225-3u^3}$  

•  $\frac{25u+100}{3u^2-125}$  

•  $-\frac{832u^2}{30000-75u^3}$  

Tags

CCSS.HSA.APR.D.6

Simplify.
 $\frac{\frac{3x+2}{x^2}-\frac{3}{x^2}}{\frac{3x+2}{x^2}-\frac{3}{2}}$  

•  $\frac{6x-2}{6x+4-3x^2}$  

•  $\frac{29x^2+36x+12+3x^3}{27x^2+9x^5+12x^4+4x^3}$  

•  $\frac{18x^2+8x}{24+9x}$  

•  $\frac{-45x-30}{-12x-36x^2-16}$  

Tags

CCSS.HSA.APR.D.6