Question 1137527


Using the binomial theorem, expand the binomial {{{(2x + y)^5 }}}


The formal expression of the Binomial Theorem is as follows:


{{{(2x +y)^5 = 5C0 (2x)^5*(y)^0 + 5C1 (2x)^(5-1)*(y)^1 + 5C2 (2x)^(5-2)*(y)^2+ 5C3 (2x)^(5-3)*(y)^3 + 5C4 (2x)^(5-4)*(y)^4 + 5C5 (2x)^(5-5)*(y)^5}}}


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

+ 10* (2x)^2*(y)^3 + 5 (2x)^1*(y)^4 + 1* (2x)^0*(y)^5}}}


{{{(2x +y)^5 = 32x^5+ 5*16x^4*y + 10* 8x^3*y^2+ 10*4x^2*y^3 + 10x*y^4 + 1* 1*y^5}}}

{{{(2x +y)^5 = 32x^5+ 80x^4*y + 80x^3*y^2+ 40x^2*y^3 + 10x*y^4 +y^5}}}