Question

expand (2x-√3)³ by using identity ​

Answer 1

${ \huge{ \mathtt{ {(2x - \sqrt{3} )}^{3} }}}\\ \\ { \huge{ \mathtt{ {(2x)}^{3} - {( \sqrt{3} )}^{3} - 3(2x)( \sqrt{3} )[2x - \sqrt{3} ]}}} \\ \\ { \huge{ \mathtt{ {8x}^{3} - 3 \sqrt{3} - 6 \sqrt{3}x (2x - \sqrt{3} ) }}} \\ \\ { \boxed{ \huge{ \mathtt{ \red{ {8x}^{3} - 12 \sqrt{3}{x}^{2} + 18x - 3 \sqrt{3} }}}}}$

Answer 2

Step-by-step explanation:

by using identity :

(a-b)^3= a^3 - b^3 -3ab(a-b).

according to question,

(2x-√3)^3= (2x)^3 - (√3)^3 - 3× 2x×√3 (2x-√3).

(8x)^3 - (3√3)- 6x√3(2x-√3).

(8x)^3- 3√3 - 12x^2√3 + 18x.

8x^3 +12x^2√3 +18x -3√3.

hence, this is the expanded form .....hope this helps ..!!!