The correct factorization of the polynomial 8x^3 + 27y^3 is B. (2x + 3y)(4x^2 - 6xy + 9y^2).

Here's how you can get to the answer:

This is a sum of cubes problem. The sum of cubes formula is a^3 + b^3 = (a + b)(a^2 - ab + b^2).

In this case, a is 2x (because (2x)^3 = 8x^3) and b is 3y (because (3y)^3 = 27y^3).

So, applying the formula, we get (2x + 3y)(4x^2 - 6xy + 9y^2), which is option B.

Question

The correct factorization of the polynomial 8x^3 + 27y^3 is B. (2x + 3y)(4x^2 - 6xy + 9y^2).

Here's how you can get to the answer:

This is a sum of cubes problem. The sum of cubes formula is a^3 + b^3 = (a + b)(a^2 - ab + b^2).

In this case, a is 2x (because (2x)^3 = 8x^3) and b is 3y (because (3y)^3 = 27y^3).

So, applying the formula, we get (2x + 3y)(4x^2 - 6xy + 9y^2), which is option B.

Knowee AI · Accepted Answer

The correct factorization of the polynomial 8x^3 + 27y^3 is B. (2x + 3y)(4x^2 - 6xy + 9y^2).

Here's how you can get to the answer:

This is a sum of cubes problem. The sum of cubes formula is a^3 + b^3 = (a + b)(a^2 - ab + b^2).

In this case, a is 2x (because (2x)^3 = 8x^3) and b is 3y (because (3y)^3 = 27y^3).

So, applying the formula, we get (2x + 3y)(4x^2 - 6xy + 9y^2), which is option B.

Which of the following is the correct factorization of the polynomial below?8x3 + 27y3A.(4x + 3y)(2x +9y)B.(2x + 3y)(4x2 - 6xy + 9y2)C.(4x + 3y)(2x2 - 2xy + 9y2)D.The polynomial is irreducible.SUBMITarrow_backPREVIOUS