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

1) $-25x^7 + 1115y^4 - 12x^2y^4 + 12y^8$

2) $-8x^7 + 27y^8 - 12x^2y^4 + 27y^8$

3) $-8x^7 + 11x^5y^4 + 12y^8$

4) $-8x^7 + 27x^5y^4$

To find the expression equivalent to the polynomial expression (2x⁵ + 3y⁴)(-4x² + 9y⁴), we need to multiply each term in the first expression by each term in the second expression:

(2x⁵)(-4x²) + (2x⁵)(9y⁴) + (3y⁴)(-4x²) + (3y⁴)(9y⁴)

After simplifying, we get: -8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

Which expression is equivalent to the polynomial expression \((2x^5 + 3y^4)(-4x^2 + 9y^4)\)?1) \(-25x^7 + 1115y^4 - 12x^2y^4 + 12y^8\)2) \(-8x^7 + 27y^8 - 12x^2y^4 + 27y^8\)3) \(-8x^7 + 11x^5y^4 + 12y^8\)4) \(-8x^7 + 27x^5y^4\)

Answer :

Final answer:

Explanation:

Other Questions

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

1) \(-25x^7 + 1115y^4 - 12x^2y^4 + 12y^8\)

2) \(-8x^7 + 27y^8 - 12x^2y^4 + 27y^8\)

3) \(-8x^7 + 11x^5y^4 + 12y^8\)

4) \(-8x^7 + 27x^5y^4\)