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Question
Factorise: a4 - 625
Solution
a4 - 625
= (a2)2 - (25)2
= (a2 + 25) (a2 - 25) ....[a2 - b2 = (a + b)(a - b)]
= (a2 + 25) {(a)2 - (5)2}
= (a2 + 25) (a + 5)(a - 5)
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