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Find the product of (a+b) and (a²-ab + b²).

User Mooreds
by
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1 Answer

3 votes

Answer:

a³ + b³

Explanation:

given the product

(a + b)(a² - ab + b²)

each term in the second factor is multiplied by each term in the first factor

a(a² - ab + b²) + b(a² - ab + b²) ← distribute parenthesis

= a³ - a²b + ab² + a²b - ab² + b³ ← collect like terms

= a³ + (- a²b + a²b) + (ab² - ab²) + b³

= a³ + b³

User Greg Beaver
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