Expand: $(3 x + 4 y)^{3}$

27 x^{3} - 108 x^{2} y - 144 x y^{2} - 64 y^{3}

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

27 x^{3} + 108 x^{2} y + 144 x y^{2} + 64 y^{3}

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

27 x^{2} + 108 x y^{2} + 144 x^{2} y + 64 y^{2}

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

9 x^{3} + 36 x^{2} y + 48 x y^{2} + 16 y^{3}

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

Open in App

Solution

The correct option is B $27 x^{3} + 108 x^{2} y + 144 x y^{2} + 64 y^{3}$
$(3 x + 4 y)^{3} = (3 x)^{3} + 3 (3 x)^{2} (4 y) + 3 (3 x) (4 y)^{2} + (4 y)^{3}$
$= 27 x^{3} + 108 x^{2} y + 144 x y^{2} + 64 y^{3} .$

Suggest Corrections