(-5x^2+7x+2)-(-5x^2-7x+2)

less than a minute read Jun 16, 2024

Simplifying the Expression (-5x^2+7x+2)-(-5x^2-7x+2)

This expression involves subtracting one polynomial from another. Let's break down the process step-by-step:

1. Distribute the Negative Sign

The minus sign in front of the second set of parentheses means we multiply each term inside by -1:

(-5x^2 + 7x + 2) + (5x^2 + 7x - 2)

2. Combine Like Terms

Now we can group together terms with the same variable and exponent:

(-5x^2 + 5x^2) + (7x + 7x) + (2 - 2)

3. Simplify

Finally, we perform the addition and subtraction:

0 + 14x + 0 = 14x

Therefore, the simplified form of the expression (-5x^2+7x+2)-(-5x^2-7x+2) is 14x.