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i) Multiply (5x² + 7x - 3) by -4x²
⇒ 5x² × (-4x²) + 7x × (-4x²) + (-3) × (-4x²)
⇒ -20x⁴ - 28x³ + 12x²
ii) Multiply (10x - 7y + 5z) by 6xyz
⇒ 10x × 6xyz - 7y × 6xyz + 5z × 6xyz
⇒ 60x²yz - 42xy²z + 30xyz²
iii) Multiply (ab + 3bc - 5ca) by 3a²bc
⇒ ab × 3a²bc + 3bc × 3a²bc - 5ca × 3a²bc
⇒ 3a³b²c + 9a²b²c² - 15a³bc²
iv) Multiply (4m² - 3m + 7) by -5m³
⇒ 4m² × (-5m³) - 3m × (-5m³) + 7 × (-5m³)
⇒ -20m⁵ + 15m⁴ - 35m³
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