(−5x2+5x−5)−(3x2+x)answer

less than a minute read Jun 17, 2024
(−5x2+5x−5)−(3x2+x)answer

Simplifying the Expression: (−5x2+5x−5)−(3x2+x)

This problem involves simplifying an expression by combining like terms. Let's break down the steps:

1. Distribute the negative sign:

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

(−5x2+5x−5) + (-1 * 3x2) + (-1 * x)

2. Simplify the expression:

This gives us:

-5x2 + 5x - 5 - 3x2 - x

3. Combine like terms:

  • x2 terms: -5x2 - 3x2 = -8x2
  • x terms: 5x - x = 4x
  • Constant term: -5

4. Final answer:

Putting it all together, the simplified expression is:

-8x2 + 4x - 5