Question

Find the product of :
(x+y)(x^2 - xy + y ^2)

Answer 1

(x^3 + y^3)

Answer 2

explain the solution

Answer 3

You can distribute but later in more complex math you memorize that equation as the factors of an addition of 2 cubes.

Answer 4

according to me it should be
(x+y)(x^2 - xy + y ^2)
x(x^2 - xy + y^2) + y(x^2 - xy + y^2)
and then x^3 - x^2y + xy^2 + yx^2 - xy^2 + y^3

Answer 5

(x+y)(x^2-xy+y^2)

(x^3-(x^2)y+x(y^2)) + (y(x^2)-x(y^2)+y^3)

After cancelling,

x^3 + y^3

Answer 6

Yeah and the 4 middle terms cancel leaving you with what I said.

Answer 7

can anyone show mw the cancelling by drawing
plsplspls :(

Answer 8

plsssssssssssssssssssssssssssssssssssssssssssss

Answer 9

You said you got this x^3 - x^2y + xy^2 + yx^2 - xy^2 + y^3
- x^2y cancels with + yx^2
+ xy^2 cancels with - xy^2

Answer 10

thanks dude