Question
Factorise the following by grouping the terms:$p^2x^2 + (px^2 + 1)x + p$
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Answer
$p^2x^2 + (px^2 + 1)x + p$
$= p^2x^2 + px^3 + x + p$
$= (p^2x^2 + px^3) + (p + x)$
$= px^2(p + x) + 1(p + x)$
$= (p + x)(px^2 + 1).$
$= p^2x^2 + px^3 + x + p$
$= (p^2x^2 + px^3) + (p + x)$
$= px^2(p + x) + 1(p + x)$
$= (p + x)(px^2 + 1).$
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