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Factorisation Using Algebraic Identities

Factorize: 1...

Question

Factorize:
$144 x^{4} - 169 y^{6}$

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Solution

Given
$144 x^{4} - 169 y^{6}$
we know $a^{2} - b^{2} = (a + b) (a - b)$
$\Rightarrow (12 x^{2})^{2} - (13 y^{3})^{2}$
$\Rightarrow (12 x^{2} - 13 y^{3}) (12 x^{2} + 13 y^{3})$

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