Question

Simplify:

(x+y)³ - (x-y)³​

Answer 1

Let's simplify step-by-step.

(x+y)3−(x−y)3

Distribute:

=x3+3x2y+3xy2+y3+−x3+3x2y+−3xy2+y3

Combine Like Terms:

=x3+3x2y+3xy2+y3+−x3+3x2y+−3xy2+y3

=(x3+−x3)+(3x2y+3x2y)+(3xy2+−3xy2)+(y3+y3)

=6x2y+2y3

Answer:

=6x2y+2y3

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