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(a+b)(a-b) Expansion and Visualisation

Factorize 9...

Question

Factorize $9 a^{2} - 16 b^{2}$

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Solution

$9 a^{2} - 16 b^{2}$
$= (3 a)^{2} - (4 b)^{2}$
$= (3 a + 4 b) (3 a - 4 b)$

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9 a^{2} - 24 a b + 16 b^{2} - 4 x^{2}

3 a - 4 b = 7

a b = 10

9 a^{2} + 16 b^{2}

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16 b^{2} + 9 a^{2} = a^{2} b^{2}

36 b^{2} + 4 a^{2} = a^{2} b^{2}

9 a^{2} + \frac{1}{9 a^{2}} - 2 - 12 a + \frac{4}{3 a}

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