Question

Factor the expression given below. Write each factor as a polynomial in

descending order. Enter exponents using the caret (^). For example, you
would enter x as x^2.
125x3 + 216y3

Answer 1

Correct answer: (5x + 6y)(25x² - 30xy + 36y²)

Explanation:

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Answer 2

(5x + 6y)(25x² - 30xy + 36y²)

Explanation:

125x³ + 216y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²) , thus

125x³ + 216y³

= (5x)³ + (6y)³

= (5x + 6y)((5x)² - 5x(6y) + (6y)² )

= (5x + 6y)(25x² - 30xy + 36y²)