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How do you factorize 9ab - 4a^3b^3?

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tamanimat | Student, Grade 11 | Salutatorian

Posted March 22, 2013 at 7:00 AM via web

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How do you factorize 9ab - 4a^3b^3?

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pramodpandey | College Teacher | Valedictorian

Posted March 22, 2013 at 7:06 AM (Answer #1)

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`9ab-4a^3b^3=ab(9-4a^2b^2)=ab(3^2-(2ab)^2)`

`=ab(3-2ab)(3+2ab)`

Here first we factor out ab , then we apply formula x^2-y^2=(x-y)(x+y).In question, x=3 and y=2ab.

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