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Answer :
Final answer:
The equivalent expression is -8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸
Explanation:
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
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