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Mathematics 7 Online
OpenStudy (anonymous):

Dividing algebraic fractions. http://goo.gl/VkXkib please help me

jhonyy9 (jhonyy9):

do you can rewrite these fractions here ?

OpenStudy (mathmath333):

\(\large\tt \color{black}{\dfrac{8}{9-a^2}\div\dfrac{4a^2-4a-24}{a^2-6a+9}}\) \(\large\tt \color{black}{=\dfrac{8}{9-a^2}\times\dfrac{a^2-6a+9}{4a^2-4a-24}}\) \(\large\tt \color{black}{=\dfrac{8}{9-a^2}\times\dfrac{a^2-3a-3a+9}{4(a^2-a-6)}}\) \(\large\tt \color{black}{=\dfrac{8}{3^2-a^2}\times\dfrac{a(a-3)-3(a-3)}{4(a^2-3a+2a-6)}}\) \(\large\tt \color{black}{=\dfrac{8}{(3+a)(3-a)}\times\dfrac{(a-3)^2}{4(a(a-3)+2(a-3))}}\) \(\large\tt \color{black}{=\dfrac{-8}{(3+a)(a-3)}\times\dfrac{(a-3)^2}{4(a-3)(a+2)}}\) \(\large\tt \color{black}{=\dfrac{-2}{(3+a)}\times\dfrac{1}{(a+2)}}\) \(\large\tt \color{black}{=\dfrac{-2}{(3+a)(a+2)}}\)

OpenStudy (anonymous):

thanks so much

OpenStudy (mathmath333):

yo welcome

OpenStudy (anonymous):

actually thts wrong

OpenStudy (mathmath333):

O:

OpenStudy (mathmath333):

can u tell me whats the answer given

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