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Multiply: (21m + 3m^2) and (3lm – 5m^2)

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Multiply: (21m + 3m2) and (3lm – 5m2)

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(2lm + 3m2) and (3lm – 5m2)

= 2lm (3lm – 5m2) + 3m2 (3lm – 5m2)

= 2lm × 3lm – 2lm × 5m2 + 3m2 × 3lm – 3m2 × 5m2

= (2 × 3) l2m2 – (2 × 5) lm3 + (3 × 3) lm3 – (3 × 5) m4

= 6l2m2 – 10lm3 + 9lm3 – 15m4

= 6l2m2 – lm3 – 15m4

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