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The simplified form of the given expression is y (4x² + 7y³) (3 - 2y).
• The given expression is (4x² + 7y³) (3xy - 2y²)
Therefore, (4x² + 7y³) (3xy - 2y²)
= 4x² (3xy - 2y²) + 7y³ (3xy - 2y²)
= 4x².3xy - 4x².2y² + 7y³.3xy - 7y³.2y²
= 12x³y - 8x²y² + 21xy⁴ - 14y⁵
• Now, taking out the common factors between first and second term, and third and fourth term :
4x²y (3x - 2y) + 7y⁴ (3x - 2y)
= (4x²y + 7y⁴) (3 - 2y)
• Further, taking out the common factor y between first and second term :
y (4x² + 7y³) (3 - 2y)
• Therefore, (4x² + 7y³) (3xy - 2y²) = y (4x² + 7y³) (3 - 2y)
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