Question

Find the area of the rectangle as a single expression.

A) 15x2 − 6x + 48
B) 15x2 + 6x + 48
C) 15x2 − 6x − 48
D) 15x2 + 6x − 48

Answer 1

D)
`15x^2 +6x-48`

Explanation:

`Area \: of \: rectangle \\ = length * width \\ = 3(x + 2) * (5x - 8) \\ = (3x + 6) * (5x - 8) \\ = 3x(5x - 8) + 6(5x - 8) \\ = 15 {x}^(2) - 24x + 30x - 48 \\ = 15 {x}^(2) + 6x - 48`