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

(5x + 6y)(25x² - 30xy + 36y²)

Step-by-step 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)

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.