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Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
y4 – 81
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Solution
We have,
y4 – 81 = (y2)2 – (9)2
= (y2 + 9)(y2 – 9)
= (y2 + 9)[(y)2 – (3)2]
= (y2 + 9)(y + 3)(y – 3)
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