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Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
p5 – 16p
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Solution
We have,
p5 – 16p = p(p4 – 16) = p[(p2)2 – 42]
= p(p2 + 4)(p2 – 4)
= p(p2 + 4)(p2 – 22)
= p(p2 + 4)(p + 2)(p – 2)
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