The result of the following expression $(a + b) (a^{2} + b^{2} - a b)$ is ___.

$(a)^{3} - (b)^{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$(a + b)^{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$(a - b)^{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$(a)^{3} + (b)^{3}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$(a)^{3} + (b)^{3}$

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

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

= $(a)^{3} + (b)^{3}$

Suggest Corrections

Similar questions

Question 84 (ix)

Simplify

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

Question 84 (ix)

Simplify

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

a^{3} - b^{3}

$(a + b) (a^{2} + b^{2} - a b)$ =

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

Join BYJU'S Learning Program