Factorise :
$y^{2} - x y (1 - x) - x^{3}$

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Solution

$y^{2} - x y (1 - x) - x^{3} y^{2} - x y + x^{2} y - x^{3} = y (y - x) + x^{2} (y - x) = (y - x) (y + x^{2}) A n s .$

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Similar questions

Factorise :
(i) $x^{3}$ −2 $x^{2}$ −x+2
(ii) 2 $y^{3}$ + $y^{2}$ −2y−1

Factorise : [4 MARKS]
$1) x^{3} - 2 x^{2} - x + 2$
$2) 2 y^{3} + y^{2} - 2 y - 1$

(x + y)^{2} - (x - y)^{2}

Factorise :

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

x^{3} - 2 x^{2} - x + 2

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