Question

Write and simplify an algebraic expression to represent the area of the shaded region. The image is below.

Answer 1

$(x+2)^2 - 1\cdot(x-5) = x^2 + 2\cdot2x + 2^2 - (x - 5) = x^2 + 4x + 4 - x + 5 = x^2 + 3x + 9$