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Question
Factorise the following expression.
a4 + 2a2b2 + b4
Sum
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Solution
a4 + 2a2b2 + b4
On writing it as follows:
(a2)2 + 2 × a2 × b2 + (b2)2
Using the identity (a + b)2 = a2 + 2ab + b2
= (a2 + b2)2
= (a2 + b2) (a2 + b2)
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