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Question
Factorise : x4 + x2 + 1
Sum
Solution
x4 + x2 + 1
= (x2)2 + 2x2. 1 + (1)2 - x2
= ( x2 + 1 )2 - (x)2 [ ∵ a2 - b2 = ( a + b )( a - b )]
= ( x2 + 1 - x )( x2 + 1 + x )
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Method of Factorisation : Difference of Two Squares
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