4p^2 9q^2 =[(2p)^2 (3q)^2] =(2p+3q)(2p 3q) nbsp; nbsp; nbsp;[ Using the identity a^2 b^2=(a b)(a+b)] ...

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Factorisation Using Algebraic Identities

i Factorise 4...

Question

Question 2(i)
Factorise
$4 p^{2} - 9 q^{2}$

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Solution

$4 p^{2} - 9 q^{2} = [(2 p)^{2} - (3 q)^{2}] = (2 p + 3 q) (2 p - 3 q) [U s i n g t h e i d e n t i t y a^{2} - b^{2} = (a - b) (a + b)]$

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