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Question
Factorise the following by grouping the terms:
xy(a2 + 1) + a(x2 + y2)
Sum
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Solution
xy(a2 + 1) + a(x2 + y2)
= a2xy + xy + ax2 + ay2
= (a2xy + ax2) + (ay2 + xy)
= ax(ay + x) + y(ay + x)
= (ay + x)(ax + y).
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Factorisation by Grouping
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