dividing rational expressions math homework help

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 • space fraction numerator 3 x space minus space 2 over denominator 2 x squared space plus space x space minus space 1 end fraction

A.

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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

B.

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

C.

9 x squared space minus space 9 x space plus space 2

D.

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

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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

A.

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

B.

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

C.

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

D.

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
 
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