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Q: expand: (x+y)^3
A: (x+y)^3 = (x+y) (x+y) (x+y); = (x^2 + xy + xy + y^2) (x + y); = (x^2 + 2xy + y^2) (x + y); = x^3 + x^2y + 2x^2y + 2xy^2 + xy^2 + y^3; = x^3 + 3x^2y + 3xy^2 + y^3
Question
Updated 7/4/2014 7:20:39 AM
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3
(x+y)^3

= (x+y) (x+y) (x+y);

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

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

= x^3 + x^2y + 2x^2y + 2xy^2 + xy^2 + y^3;

= x^3 + 3x^2y + 3xy^2 + y^3
Confirmed by jeifunk [7/4/2014 7:37:53 AM]

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