## Intermediate Algebra (6th Edition)

$x^{2}y-5x-\frac{1}{2}$
We are given the polynomial $4x^{2}y+2x-3x^{2}y-\frac{1}{2}-7x$. We can simplify by combining like terms. $(4x^{2}y-3x^{2}y)+(2x-7x)+(-\frac{1}{2})=(x^{2}y)+(-5x)-\frac{1}{2}=x^{2}y-5x-\frac{1}{2}$