Question 84800
Using the general binomial {{{(x+y)^5}}} we can use binomial expansion to get

{{{(x+y)^5=1 * x^5 +5 * x^4 * y +10 * x^3 * y^2 +10 * x^2 * y^3 +5 * x * y^4 +1 * y^5}}}


Now substitute {{{x=2x}}} and {{{y=-3}}}


{{{1 * (2x)^5 +5 * (2x)^4 * (-3) +10 * (2x)^3 * (-3)^2 +10 * (2x)^2 * (-3)^3 +5 * (2x) * (-3)^4 +1 * (-3)^5}}}


Now simplify



{{{32*x^5+-240*x^4+720*x^3+-1080*x^2+810*x+-243}}}