How do I find the binomial expansion of (2x+1)4?

1 Answer
Sep 28, 2014

Note that the notation for the binomial coefficients is incorrect . It should not look like a fraction. The fraction bar should be removed the numbers should be on top of each other vertically.

=(40)(2x)4(2)0+(41)(2x)3(2)1+(42)(2x)2(2)2+(43)(2x)1(2)3+(44)(2x)0(2)4

=(1)(2x)4+(4)(2x)3(2)+(6)(2x)2(2)2+(4)(2x)(2)3+(1)(2)4

=(2x)4+(4)(2x)3(2)+(6)(2x)2(2)2+(4)(2x)(2)3+(2)4

=16x4+64x3+48x2+64x+16