Multiply:

(1) (a + 2) (a + 3)
(2) (m − 1) (m − 3)
(3) (b + 2) (b − 6)
(4) (a + b) (a + 4b)

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Solution

(1) (a + 2) (a + 3)
= a (a + 3) + 2 (a + 3)
= a² + 3a + 2a + 6
= a² + 5a + 6

(2) (m – 1) (m – 3)
= m (m – 3) – 1 (m – 3)
= m² – 3m – 1m + 3
= m² – 4m + 3

(3) (b + 2) (b – 6)
= b (b – 6) + 2 (b – 6)
= b² – 6b + 2b – 12
= b² – 4b – 12

(4) (a + b) (a + 4b)
= a (a + 4b) + b (a + 4b)
= a² + 4ab + ab + 4b²
= a² + 5ab + 4b²

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