## Intermediate Algebra: Connecting Concepts through Application

$14x^2-28x+17$
Use the FOIL method on the second and third sets of parentheses. Then combine like terms. $(5x^2+2x-8)+(3x-5)^2$ $=(5x^2+2x-8)+(3x-5)(3x-5)$ $=(5x^2+2x-8)+(9x^2-30x+25)$ $=14x^2-28x+17$