Multiplying and Dividing Rational Expressions

Simplify the expression.

$fraction numerator 45 y cubed x over denominator 5 y x squared end fraction$

$fraction numerator 9 y squared over denominator x end fraction$

$fraction numerator 9 y cubed over denominator x squared end fraction$

Simplify the expression.

$fraction numerator negative 24 a b cubed over denominator 14 a squared b squared end fraction$

$fraction numerator negative 2 b over denominator a end fraction$

$fraction numerator negative 12 a b over denominator 7 end fraction$

$fraction numerator negative 12 b over denominator 7 a end fraction$

$fraction numerator negative 12 b to the power of 5 over denominator 7 a cubed end fraction$

Simplify the expression.

$fraction numerator 4 b squared minus 16 over denominator b space plus space 2 end fraction$

$fraction numerator 2 left parenthesis b squared minus 4 right parenthesis over denominator b end fraction$

Simplify the expression.

$fraction numerator p squared space minus space 8 p space plus space 15 over denominator p squared space minus space 6 p space plus space 9 end fraction$

$fraction numerator p squared space minus space 8 p space minus space 15 over denominator p squared space minus space 6 p space plus space 9 end fraction$

$fraction numerator p space minus space 5 over denominator p space minus thin space 3 end fraction$

$fraction numerator p space minus space 5 over denominator p space plus thin space 3 end fraction$

Multiply the rational expressions and simplify.

$fraction numerator 3 x z squared over denominator 4 x z end fraction space â¢ space fraction numerator 4 x squared over denominator 2 z end fraction$

$fraction numerator 12 x cubed z squared over denominator 8 x z end fraction$

$fraction numerator 12 x cubed z squared over denominator 8 x z squared end fraction$

$fraction numerator 3 x squared z over denominator 2 end fraction$

$fraction numerator 3 x squared over denominator 2 end fraction$

Divide the rational expressions and simplify.

$fraction numerator 2 q over denominator p cubed end fraction space divided by space fraction numerator 4 q over denominator negative p end fraction$

$negative fraction numerator 1 over denominator 2 p squared end fraction$

$negative fraction numerator 1 over denominator 2 p end fraction$

$negative fraction numerator 8 q squared over denominator p to the power of 4 end fraction$

$negative fraction numerator p to the power of 4 over denominator 8 q squared end fraction$

Multiply the rational expressions and simplify.

$fraction numerator 8 y space plus space 16 over denominator 2 end fraction space â¢ space fraction numerator 1 over denominator y space plus thin space 2 end fraction$

$fraction numerator 8 y space plus space 16 over denominator 2 y space plus space 4 end fraction$

Simplify the complex fraction completely.

$fraction numerator begin display style fraction numerator x space minus space 4 over denominator 2 x space minus space 1 end fraction end style over denominator begin display style fraction numerator x squared minus 16 over denominator 2 x space minus space 1 end fraction end style end fraction$

$fraction numerator 1 over denominator x space plus thin space 4 end fraction$

$fraction numerator x cubed space minus space 4 x squared space minus space 16 x space plus thin space 16 over denominator 4 x squared space minus space 4 x space plus space 1 end fraction$

$fraction numerator 1 over denominator x space minus space 4 end fraction$

Multiply the rational expressions and simplify.

$fraction numerator 3 x squared space plus space 2 x space minus space 1 over denominator 4 x space minus space 2 end fraction space â¢ space fraction numerator 3 x space minus space 2 over denominator 2 x squared space plus space x space minus space 1 end fraction$

$fraction numerator 9 x squared space minus space 9 x space plus space 2 over denominator 8 x squared space minus space 8 x space plus space 2 end fraction$

$fraction numerator 9 x space plus thin space 2 over denominator 8 x space plus space 1 end fraction$

$fraction numerator 3 x cubed space plus space 5 x squared space plus space x space minus space 1 over denominator 6 x space minus space 4 end fraction$

Simplify the complex rational expression completely.

$fraction numerator begin display style fraction numerator r squared space plus space 2 r space minus space 8 over denominator r squared space plus space 4 r space plus space 3 end fraction end style over denominator begin display style fraction numerator r space minus space 2 over denominator 3 r space plus thin space 3 end fraction end style end fraction$

$fraction numerator r space plus thin space 4 over denominator r space plus space 3 end fraction$

$fraction numerator r space plus thin space 4 over denominator r space plus thin space 1 end fraction$

$fraction numerator 3 r space plus thin space 12 over denominator r space plus thin space 3 end fraction$

$fraction numerator r cubed space minus space 12 r space plus thin space 16 over denominator 3 r cubed space plus thin space 15 r squared space plus space 21 r space plus space 9 end fraction$

Multiplying and Dividing Rational Expressions

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