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Factorisation using algebraic identities

Question 92 i...

Question

Question 92 (iv)

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

$3 a^{2} b^{3} - 27 a^{4} b$

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Solution

$3 a^{2} b^{3} - 27 a^{4} b = 3 a^{2} b (b^{2} - 9 a^{2}) = 3 a^{2} b [b^{2} - (3 a)^{2}] = 3 a^{2} b (b + 3 a) (b - 3 a)$

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Factorisation using algebraic identities

Standard VIII Mathematics

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