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Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
y4 – 625
Solution
We have,
y4 – 625 = (y2)2 – (25)2
= (y2 + 25)(y2 – 25)
= (y2 + 25)(y2 – 52)
= (y2 + 25)(y + 5)(y – 5)
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