Question

Which of the following is the correct expansion of the binomial (x + y)6? x6 + 6x5y + 15x4y2 + 20x3y3 + 15x2y4 + 6xy5 + y6 x6 + 155y + 6x4y2 + 20x3y3 + 6x2y4 + 15xy5 + y6 x6 + 6x5y5 + 15x4y4 + 20x3y3 + 15x2y2 + 6xy1 + y6 x6 + 6x5y + 20x4y2 + 15x3y3 + 20x2y4 + 6xy5 + y6

Answer 1

(x+y)^3(x+y)^3= (x^3+3xy^2+3x^2y+y^3)(x^3+3xy^2+3x^2y+y^3)=

x^6 + 3x^4y^2 +3x^5y+ x^3y^3 + 3x^4y^2 + 9x^2y^4 + 9x^3y^3 + 3xy^5 + 3x^5y + 9x^3y^3 + 9x^4y^2 + 3x^2y^4 + x^3y^3 + 3xy^5 + 3x^2y^4 + y^6=

x^6+y^6+ 15 x^4y^2+ 6x^5y + 20 x^3y^3 + 15x^2y^4+6xy^5 

is the first option