Question

expand : (2+x+x^2)^3

Answer 1

Solutions 

(2+x+x2)3

=(2+x+x2)*(2+x+x2)*(2+x+x2)

=(2+x+x2)(x4+2x3+5x2+4x+4)

=(2)(x4)+(2)(2x3)+(2)(5x2)+(2)(4x)+(2)(4)+(x)(x4)+(x)(2x3)+(x)(5x2)+(x)(4x)+(x)(4)+(x2)(x4)+(x2)(2x3)+(x2)(5x2)+(x2)(4x)+(x2)(4)

=2x4+4x3+10x2+8x+8+x5+2x4+5x3+4x2+4x+x6+2x5+5x4+4x3+4x2

=x6+3x5+9x4+13x3+18x2+12x+8