Question

Use the direct method to evaluate the following products :
(5a + 16) (3a – 7)

Answer 1

(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