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If a+b=2 find the value of a3+b3+6ab

If a+b=2 find the value of a3+b3+6ab
asked 38.3k views
1 vote
If a+b=2 find the value of a3+b3+6ab

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User Farmir
by
8.1k points

1 Answer

3 votes

Answer:

Explanation:

Factor the sum of cubes

a³ + b³ = (a+b)(a² - ab +b²)

= 2a² - 2ab + 2b²

a³ + b³ + 6ab = 2a² + 4ab + 2b²

= 2(a² + 2ab +b²)

= 2(a+b)²

= 8

answered
User Dmitry Frenkel
by
7.9k points
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