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Question
Factorise by the grouping method:
ab (x2 + 1) + x (a2 + b2)
Sum
Solution
ab (x2 + 1) + x (a2 + b2)
= abx2 + ab + a2x + b2x
= abx2 + b2x + a2x + ab
= bx(ax + b) + a(ax + b)
= (ax + b)(bx + a).
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Factorisation by Grouping
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