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Question
Factorise the following by grouping the terms:
p2x2 + (px2 + 1)x + p
Sum
Solution
p2x2 + (px2 + 1)x + p
= p2x2 + px3 + x + p
= (p2x2 + px3) + (p + x)
= px2(p + x) + 1(p + x)
= (p + x)(px2 + 1).
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Factorisation by Grouping
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