Simplify

(2x^{2} - 5x + 3) - (-x^{2} + 4x - 5)

3x^2 - 9x + 8

Step-by-step explanation:

To simplify:

Distribute the - 1 into the second term. Collect and combine like-terms (terms with the same variables or powers)

The expression can be rewritten has (2x^2 - 5x + 3) - 1 (-x^2 + 4x - 5)

After distributing the - 1, the equation becomes:

(2x^2 - 5x + 3) + (x^2 - 4x + 5)

The like-terms are:

2x^2 and x^2 - 5x and - 4x 3 and 5

Combine the like-terms:

2x^2 + x^2 = 3x^2 - 5x - 4x = - 9x 3 + 5 = 8

Substitute the simplified like-terms into the expression, in descending order:

3x^2 - 9x + 8