Simplifying Polynomial Expressions

In this problem, we need to find which expression is equivalent to the subtraction of two polynomials.

Let's write down the original expression: quantity two x squared plus three x minus two, minus the quantity five x squared minus x minus seven.

The first step is to distribute the negative sign to every term inside the second pair of parentheses. This effectively changes the sign of each term inside.

Now, let's group the like terms together. We'll start with the squared terms.

Two x squared minus five x squared gives us negative three x squared.