Simplifying Polynomial Expressions

Hello! Let's find an expression equivalent to this subtraction of two polynomials. We have the expression two x squared plus three x minus two, and we are subtracting five x squared minus x minus seven.

The first step in subtracting polynomials is to distribute the negative sign into the second set of parentheses.

When we distribute the minus sign, the signs of every term in the second polynomial will change. Let's write that out.

Now, we group the like terms together. Let's start with the x squared terms.

Two minus five gives us negative three, so we have negative three x squared.

Next, let's group the terms with x.