Question 35063
{{{ (2x+1)^3 }}}
lay out the three parts
{{{ (2x+1)(2x+1)(2x+1) }}}
Foil the first two quantities
{{{ (4x^2+4x+1)(2x+1) }}}
Distribute out the second quantity across the first
{{{ 2x(4x^2) + 2x(4x) + 2x(1) + 1(4x^2) + 1(4x) + 1(1) }}}
multiply
{{{ 8x^3 + 8x^2 + 2x + 4x^2 + 4x + 1 }}}
Combine like terms
{{{ 8x^3 + 12x^2 + 6x + 1 }}}
Done