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Factorisation Using Algebraic Identities

Factorise : 4...

Question

Factorise : $4 x^{2} - 81 y^{2}$

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Solution

$4 x^{2} - 81 y^{2} = (2 x)^{2} - (9 y)^{2} = (2 x + 9 y) (2 x - 9 y)$

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Q. Factorise the following:

4 x^{2} - 81 y^{2}

4 x^{2} - 81 y^{2}

by using formula:

64 x^{3} - 729 y^{3}

Q. Use the formula to find the factors.

(7) 4x² – 81y²

Factorise:

$4 x^{2} + \frac{1}{4 x^{2}} + 1$

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