169k views
4 votes
Show that (a + b) (a + b)²=a³+ 3a²b+3ab²+b³

User Exhausted
by
8.4k points

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
by
8.6k points

Related questions

asked Jun 2, 2024 83.3k views
Mad Pig asked Jun 2, 2024
by Mad Pig
8.0k points
1 answer
3 votes
83.3k views
asked Oct 27, 2024 130k views
El Roso asked Oct 27, 2024
by El Roso
8.7k points
1 answer
5 votes
130k views