solve: $a b (x^{2} + 1) + x (a^{2} + b^{2})$

Open in App

Solution

$a b (x^{2} + 1) + x (a^{2} + b^{2})$
$\Rightarrow a b x^{2} + a b + x a^{2} + x b^{2}$
$a b x^{2} + a^{2} x + b x^{2} + a b$
$a x (x b + a) + b (b x + a)$
$(a x + b) (x b + a) .$
Hence, the answer is $(a x + b) (x b + a) .$

Suggest Corrections

Similar questions

Factorise:
$a b (x^{2} + 1) + x (a^{2} + b^{2})$

a b (x^{2} + 1) + x (a^{2} + b^{2})

a b (x^{2} + 1) + x (a^{2} + b^{2})

a b (x^{2} + 1) + x (a^{2} + b^{2})

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

Join BYJU'S Learning Program