After you distribute the negative sign, rewrite the full expression without the first set of parentheses. Then remove the second set of parentheses as well.

Once all parentheses are gone, group together the $x^2$ terms, the $x$ terms, and the constant terms, and then combine their coefficients.

Type the original expression as y = -(2x^2 - 3x + 5) + (x^2 + 4x - 1) so Desmos will graph it or generate a table of values.

On new lines, enter y = x^2 + 7x - 6, y = -x^2 - 7x + 6, y = -3x^2 + x - 4, and y = -x^2 + 7x - 6. Use the graph or a table to see which choice produces the same $y$-values as the original expression for many different $x$-values—that expression is equivalent to the original.

Start with the expression:

The minus sign in front of the first parentheses means you multiply each term inside by $-1$:

So the whole expression becomes:

Now drop the parentheses around the second expression (because nothing is in front of it to change the signs):

Group the terms by powers of $x$ and constants:

• $x^2$ terms: $-2x^2$ and $x^2$
• $x$ terms: $3x$ and $4x$
• Constant terms: $-5$ and $-1$

Combine each group:

• For $x^2$: $-2x^2 + x^2 = -x^2$
• For $x$: $3x + 4x = 7x$
• For constants: $-5 - 1 = -6$

So the simplified expression is

This matches choice D.