(2a 3b)^3 ∴ (x y)^3= x^3 y^3 3x^2y+3xy^2 ⇒ (2a)^3 (3b)^3 3× (2a)^2× 3b+3× (2a)× (3b)^2 ⇒ 8a^3 27b^3 3× 4a^2× 3b+3× 2a× 9b^2 ⇒ 8a^3 27b^ ...

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

Algebraic Identities

Expand: 2a-3...

Question

Expand: $(2 a - 3 b)^{3}$

Open in App

Solution

$(2 a - 3 b)^{3}$
$∴ (x - y)^{3} = x^{3} - y^{3} - 3 x^{2} y + 3 x y^{2}$
$\Rightarrow (2 a)^{3} - (3 b)^{3} - 3 \times (2 a)^{2} \times 3 b + 3 \times (2 a) \times (3 b)^{2}$
$\Rightarrow 8 a^{3} - 27 b^{3} - 3 \times 4 a^{2} \times 3 b + 3 \times 2 a \times 9 b^{2}$
$\Rightarrow 8 a^{3} - 27 b^{3} - 36 a^{2} b + 54 a b^{2}$ Ans

Suggest Corrections

Similar questions

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

(2 a - 3 b)^{3}

(2 a + 3 b)^{3}

Write the following cubes in expanded form: ${(2 a - 3 b)}^{3}$

(2 a + 3 b)^{3}

Join BYJU'S Learning Program