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Help simplifying? Multiple choice... I'm not good with fractions
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\[\frac{ 6x^2-54x+84 }{ 8x^2-40x+48 }\div \frac{ x^2+x-56 }{ x^2+12x-32 }\]
\[A. \frac{ 2(x-3) }{ 3(x-2) }\]
\[B. \frac{ 2(x-2) }{ 3(x-3)}\]
\[C. \frac{ 3(x-3) }{ 2(x-2) }\]
\[D. \frac{ 3(x-2) }{ 2(x-3) }\]
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first of all i think you have to factor out all the quadratic expressions. to be able to do that, 1st: multiply the coefficient of the x^2 term by the constant and list all the factors of that number including the negative factors.
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