The correct option is A a^3 6a^2b + 12ab^2 8b^3( a b )^3 = a^3 b^3 3ab(a b) (a 2b)^3 = (a)^3 (2b)^3 3× a×2b(a 2b) = (a)^3 (2b)^3 6ab(a 2b ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Expansion of (a-b)^3

What is a-2 b...

Question

What is $(a - 2 b)^{3}$ ?

a^{3} + 6 a^{2} b + 12 a b^{2} - 8 b^{3}

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

a^{3} - 6 a^{2} b + 12 a b^{2} - 8 b^{3}

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

a^{3} - 12 a^{2} b + 12 a b^{2} - 8 b^{3}

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

a^{3} - 16 a^{2} b + 12 a b^{2} + 8 b^{3}

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

Open in App

Solution

The correct option is B $a^{3} - 6 a^{2} b + 12 a b^{2} - 8 b^{3}$
$(a - b)^{3} = a^{3} - b^{3} - 3 a b (a - b)$

$(a - 2 b)^{3} = (a)^{3} - (2 b)^{3} - 3 \times a \times 2 b (a - 2 b)$

= $(a)^{3} - (2 b)^{3} - 6 a b (a - 2 b)$

= $a^{3} - 8 b^{3} - 6 a^{2} b + 12 a b^{2}$

Suggest Corrections