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Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
16x4 – 625y4
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Solution
We have,
16x4 – 625y4 = (4x2)2 – (25y2)2
= (4x2 + 25y2)(4x2 – 25y2)
= (4x2 + 25y2)[(2x)2 – (5y)2]
= (4x2 + 25y2)(2x + 5y)(2x – 5y)
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