a^2 + b^2
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(a+b)^2 -2ab
a^2 +b^2 +c^2
(a + b + c )^2 - 2(sum of ab)
a^2 + b^2 + c^2 + d^2
( a+b+c+d)^2 -2( sum of ab)
a^3 +b^3
(a +b)^3 - 3ab(a+b)
a^3 + b^3 + c^3
(a +b+ c)^3 - 3(a+b+c)(ab + bc +ac) + 3abc