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

Open in App

Solution

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

Using identity ${(x - y)}^{3}$ = $x^{3}$ - $y^{3}$ - 3xy(x - y)

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

= 8 $a^{3}$ - 27 $b^{3}$ - 18ab(2a - 3b)

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

Suggest Corrections

Similar questions

(2 a + 3 b)^{3}

Write the following cubes in expanded form:
(i) ${(2 x + 1)}^{3}$
(ii) ${(2 a - 3 b)}^{3}$

(2 a + 3 b)^{3}

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

{(5 x - 3 y)}^{3}

(2 x + 1)^{3}

(2 a - 3 b)^{3}

{[\frac{3}{2} x + 1]}^{3}

{[x - \frac{2}{3} y]}^{3}

Join BYJU'S Learning Program