Question

if 2a is equal to 3 + 2 b prove that 8 a cube minus 8 b cube - 36 a b is equal to 27

Answer 1

In the attachments I have answered this problem.

See the attachments for detailed solution

I hope this answer helps you

Answer 2

$\mathit{HELLO\;\; DEAR,}$

$\mathit{GIVEN THAT:- \: \: 2a = 3 + 2b} \\ \\ \mathit{= (2a - 2b) = 3} \\ \: \: \: \: \: \: \: \: \: \: \bold{\to\to\to\to\to\to \therefore \boxed{ON \: \: CUBING \: \: BOTH \: \: SIDE}} \\ \\ \mathit{(2a)^3 - (2b)^3 - 3(2a)(2b)(2a - 2b) = 3^3} \\ \\ \mathit{8a^3 - 8b^3 - 12ab(3) = 27} \\ \\ \mathit{8a^3 - 8b^3 - 36ab = 27}$


$\mathit{\underline{I\;\; HOPE\:\: ITS \:\:HELP \;\;YOU \;\;DEAR, \;\;THANKS}}$