Factorise a4 − 2a2b2 + b4
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Solution
a4 − 2a2b2 + b4 = (a2)2 − 2 (a2) (b2) + (b2)2
= (a2 − b2)2
= [(a − b) (a + b)]2
= (a − b)2 (a + b)2
Concept: Factorisation Using Identities
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