State True or False.
$(2 a - 3 b)^{3}$ $= 8 a^{3} - 27 b^{3} - 36 a^{2} b + 54 a b^{2}$

True

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

False

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

Open in App

Solution

The correct option is A True
Using, $(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$
$(2 a - 3 b)^{3} = (2 a)^{3} + (- 3 b)^{3} + 3 (2 a) (- 3 b) (2 a - 3 b)$
$= 8 a^{3} - 27 b^{3} - 18 a b (2 a - 3 b)$
$= 8 a^{3} - 27 b^{3} - 36 a^{2} b + 54 a b^{2}$

Suggest Corrections

Similar questions

(2 a + 3 b)

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

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

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

Join BYJU'S Learning Program