Question

If A(x) = –2x2 – 4, B(x) = 5x – 3 and C(x) = -4x^2 + 7x, form a simplified expression for A(x) - B(x) - C(x).

Answer 1

A(x) - B(x) - C(x) = -2x^2 - 4 - (5x - 3) - (-4x^2 + 7x)

Expand

= -2x^2 - 4 - 5x + 3 + 4x^2 - 7x

Simplify like terms

= -2x^2 + 4x^2 - 5x - 7x - 4 + 3

Result

= 2x^2 - 12x - 1