Question

Simplify

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

Answer 1

3x^2 - 9x + 8

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