Question 1100323
the distributive law of multiplication says:


(a + b) * (a + b) equals:


a * (a + b) plus b * (a + b) which equals:


(a*a) + (a*b) + (b*a) + (b*b).


since a*b) is the same as (b*a), this can be shown as:


(a*a) + (a*b) + (a*b) + b*b) which can be shown as:


a^2 + 2*a*b + b^2


if you let a = x^n and b = y^m, this becomes:


{{{(x^n)^2 + 2*x^n*y^m + (y^m)^2}}} which can be shown as:


{{{x^(2n) + 2*x^n*y^m + y^(2m)}}}