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Mathematics 19 Online
OpenStudy (anonymous):

The following problem involves some factoring by grouping. Remember, before you can divide out factors common to the numerators and denominators of a product, you must factor completely.

OpenStudy (anonymous):

\[\frac{ x^3-3x^2+4x-12 }{ x^4-16 } * \frac{ 24x^2+40x-16 }{ 3x^2-10x+3 }\]

OpenStudy (anonymous):

the denominator is 4(6x^2+10x-4)

OpenStudy (anonymous):

the second numerator *

OpenStudy (anonymous):

i think

OpenStudy (nincompoop):

you are correct, but can you further factor whatever is inside the parenthesis?

OpenStudy (anonymous):

4(3x+2)(2x+2)

OpenStudy (anonymous):

x^4-16 is (x^2+4)(x^2-4)?

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