Question

Which of the following show the expanded and simplified version of the expression

g(x) = 6(x + 2)2 + (x - 3)(x - 5)
a) 5x² + 16x +39
Ob) 7x² + 32x +39
Oc) 7x² + 16x +39
d) 7x² + 32x +9

Answer 1

c) 7x² + 16x +39

Explanation:

g(x) = 6(x + 2)² + (x - 3)(x - 5)

g(x) = 6(x² + 2*2x + 2²) + (x² - 3x - 5x + 15) =

= 6x² + 24x + 24 + x² - 8x + 15 = 7x² + 16x + 39