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Factorization of Expressions in the Form of ax+by and a²-b² as a Product of Terms

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Question

Find the factors of the expression:
$36 x^{2} - 16 a^{2} - 24 a b - 9 b^{2}$

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Solution

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x = \frac{2}{3}

y = \frac{1}{5} .

16 a^{2} + 9 b^{2} - 24 a b + 24 a - 18 b + 9

16 a^{2} + 9 b^{2} - 24 a b + 24 a - 18 b + 9

16 a^{2} - 24 a b

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