MysteryLover MysteryLover

12-12-2020
Mathematics

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

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olivia3314 olivia3314

12-12-2020

Step-by-step 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

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