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Question
Factorise: 4x2 – 9y2
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Solution
4x2 – 9y2 = 22x2 – 32y2 = (2x)2 – (3y)2
Substituting a = 2x and b = 3y in
(a2 – b2) = (a + b)(a – b), we have
(2x)2 – (3y)2 = (2x + 3y)(2x – 3y)
∴ Factors of 4x2 – 9y2 are (2x + 3y) and (2x – 3y)
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