Factorise: $a^{3} - a^{2} b^{2} - a b + b^{3}$

Open in App

Solution

We need to factorise $a^{3} - a^{2} b^{2} - a b + b^{3}$
Writing terms with common factors aside,
$(a^{3} - a^{2} b^{2}) - (a b - b^{3})$
$a^{2} (a - b^{2}) - b (a - b^{2})$
$= (a^{2} - b) (a - b^{2})$
Thus factors are $(a^{2} - b), (a - b^{2})$ .

Suggest Corrections

Similar questions

(a^{2} - b^{2}) (a^{2} + a b + b^{2}) - a^{3} + b^{3}

Factorise :

$a^{3} b - a^{2} b^{2} - b^{3}$

a^{3} b^{3} + c^{3}

a^{3} - b^{3} {+ 8 c}^{3} + 6 a b c

Join BYJU'S Learning Program