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Factorisation Using Algebraic Identities

xxxi Factoris...

Question

Question 92 (xxxi)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$9 x^{2} - (3 y + z)^{2}$

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Solution

$9 x^{2} - (3 y + z)^{2} = (3 x)^{2} - (3 y + z)^{2} = (3 x + 3 y + z) (3 x - 3 y - z)$

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Factorisation Using Algebraic Identities

Standard VIII Mathematics