Question

(a+b)^3 - (a^3+b^3)=
$(a + b) {}^{3} - (a {}^{3} + b {}^{3} ) =$
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

=3a²b+3ab²

Step-by-step explanation:

Let's simplify step-by-step.

(a+b)³−(a³+b³)

Distribute the Negative Sign:

=(a+b)³+−1(a³+b³)

=(a+b)³+−1a³+−1b³

=(a+b)³+−a³+−b³

Distribute:

=a³+3a²b+3ab²+b³+−a³+−b³

Combine Like Terms:

=a³+3a²b+3ab²+b³+−a³+−b³

=(a³+−a³)+(3a²b)+(3ab²)+(b³+−b³)

=3a²b+3ab²

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