How do you factor x^3+27y^3

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Guest Dec 2, 2014

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Best Answer

To factor the sum of two cubes, use the formula: A³ + B³ = (A + B)(A² - AB + B²)

In x³ + 27y³ ---> x³ + (3y)³ ---> In the formula, replace A with x and replace B with 3y:

---> (x + 3y)(x² - x·3y + (3y)²)

---> (x + 3y)(x² - 3xy + 9y²)

geno3141 Dec 2, 2014

geno3141 · Answer 1 · 2014-12-02T06:32:37

To factor the sum of two cubes, use the formula: A³ + B³ = (A + B)(A² - AB + B²)

In x³ + 27y³ ---> x³ + (3y)³ ---> In the formula, replace A with x and replace B with 3y:

---> (x + 3y)(x² - x·3y + (3y)²)

---> (x + 3y)(x² - 3xy + 9y²)