x^3 x^2 xy +x +y 1 Rearrange the above terms we get, x^3 x^2 xy+y+x 1 Take out #160; common in both terms, x^2(x 1) y(x 1)+1(x 1) (x 1)(x ...

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Factorisation by Regrouping Terms

x3 -x2 -xy +x...

Question

$x^{3} - x^{2} - x y + x + y - 1$

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Solution

$x^{3} - x^{2} - x y + x + y - 1$
Rearrange the above terms we get,
$x^{3} - x^{2} - x y + y + x - 1$
Take out common in both terms,
$x^{2} (x - 1) - y (x - 1) + 1 (x - 1)$
$(x - 1) (x^{2} - y + 1)$

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