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Question
Use the direct method to evaluate the following products :
(5a + 16) (3a – 7)
Solution
(5a + 16) (3a – 7) = (5a × 3a) + (5a × −7) + (16 × 3a) + 16 −7
Simplify each term
(5a)(3a) = 15a2
(5a)(−7) = −35a
(16)(3a) = 48a
(16)(−7) = −112
Combine like terms
15a2 − 35a + 48a − 112
15a2 + 13a − 112
15a2 + 13a − 112
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