Question

Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)

Answer 1

-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8

Explanation:

I took the test

Answer 2

A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Explanation:

Given:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Required:

Find an equivalent polynomial

Solution:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Using distributive property of multiplication

2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)

-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

There are no like terms to add or combine, therefore:

(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸