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Factorisation Using Algebraic Identities

Factorize: 1...

Question

Factorize:
$(10 x^{3} - 7 y^{2})^{2} - 4 z^{2}$

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Solution

$(10 x^{3} - 7 y^{2})^{2} - 4 z^{2}$
we know
$a^{2} - b^{2} = (a + b) (a - b)$
$(10 x^{3} - 7 y^{2})^{2} - (2 z)^{2}$
$(10 x^{3} - 7 y^{2} - 2 z) (10 x^{3} - 7 y^{2} + 2 z)$

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