Answer:
x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6
Step-by-step explanation:
expansion of the binomial (x + y)^6
USe Pascals triangle
6th row in pascals triangle is
1 6 15 20 15 6 1
Now we do the expansion using the above row.
nCr (x)^n-r (y)^r
1 (x)^6(y)^0+ 6(x)5(y)^1+ 15(x)^4(y)^2+20(x)^3(y)^3+15(x)^2(y)^4+6(x)^1(y)^5+1(x)^0(y)^6
[tex]x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex]
