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Factorisation Using Algebraic Identities

Factorise Com...

Question

Factorise Completely : $16 x^{4} - 81 y^{4}$

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Solution

$16 x^{4} - 81 y^{4} = (4 x^{2})^{2} - (9 y^{2})^{2} = (4 x^{2} + 9 y^{2}) (4 x^{2} - 9 y^{2}) = (4 x^{2} + 9 y^{2}) [(2 x)^{2} - (3 y)^{2}] = (4 x^{2} + 9 y^{2}) (2 x + 3 y) (2 x - 3 y)$

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Similar questions

16 x^{4} - 81 y^{4}

Q. The expression

16 x^{4} - 81 y^{4}

is NOT evenly divisible by

4 x^{4} + 81 y^{4}

Q. Factorise:
16x⁴ – 1

16 x^{4} - y^{4}

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