Expand the following : $(3 a + 2 b)^{3}$

27 a^{3} + 54 a^{2} b + 6 a b^{2} + 8 b^{3}

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

27 a^{3} + 54 a^{2} b + 36 a b^{2} + 8 b^{3}

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

27 a^{3} + 54 a^{2} b + 36 a b^{2} + 2 b^{3}

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

9 a^{3} + 54 a^{2} b + 36 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 D $27 a^{3} + 54 a^{2} b + 36 a b^{2} + 8 b^{3}$
$(3 a + 2 b)^{3}$
Using $(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$
$= (3 a)^{3} + (2 b)^{3} + 3 (3 a 2 b) (3 a + 2 b)$
$= 27 a^{3} + 8 b^{3} + 18 a b (3 a + 2 b)$
$= 27 a^{3} + 8 b^{3} + 57 a^{2} b + 36 a b^{2}$

Suggest Corrections

Similar questions

27 a^{3} - 8 b^{3} - 54 a^{2} b + 36 a b^{2}

27 a^{3} + 8 b^{3} - 18 a^{2} b - 12 a b^{2}

27 a^{3} + 8 b^{3} - 27 c^{3} + 18 a b c

(a - 2 b)^{3}

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

Join BYJU'S Learning Program