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Show that (a + b) (a + b)²=a³+ 3a²b+3ab²+b³
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4 votes
Show that (a + b) (a + b)²=a³+ 3a²b+3ab²+b³

User Exhausted
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1 Answer

4 votes

Explanation:

(a+b)(a+b)² = (a+b)(a²+2ab+b²)

=a(a²+2ab+b²) + b(a²+2ab+b²)

= a³+2a²b+ab² + a²b+2ab²+b³

=a³+2a²b+ a²b+ab² +2ab²+b³

=a³+3a²b+3ab²+b³

User Jeremy Grozavescu
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