(2x+1)3
= (2x)3+3.2x2 + 3.2x + 13
= 8x3 + 6x2 + 6x + 1
\(\left(2x+1\right)^3\)
\(=\left(2x+1\right)\left(2x+1\right)\left(2x+1\right)\)
\(=\left(4x^2+2x+2x+1\right)\left(2x+1\right)\)
\(=\left(4x^2+4x+1\right)\left(2x+1\right)\)
\(=8x^3+8x^2+2x+4x^2+4x+1\)
\(=8x^3+12x^2+6x+1\)
(2x+1)^3
=(2x)^3 + 3 . 2x^2 + 3 .2x +1^3
=8x^3 + 6x^2 + 6x + 1