(-5x^ 2 +5x-5)-(3x^ 2 +x)(−5x2+5x−5)−(3x2+x)

less than a minute read Jun 16, 2024
(-5x^ 2 +5x-5)-(3x^ 2 +x)(−5x2+5x−5)−(3x2+x)

Simplifying the Expression: (-5x^2 + 5x - 5) - (3x^2 + x)

This expression involves subtracting two polynomials. To simplify it, we need to distribute the negative sign and combine like terms. Here's how:

1. Distribute the Negative Sign:

The expression becomes: -5x^2 + 5x - 5 - 3x^2 - x

2. Combine Like Terms:

  • x^2 terms: -5x^2 - 3x^2 = -8x^2
  • x terms: 5x - x = 4x
  • Constant terms: -5 = -5

3. Simplified Expression:

The simplified expression is: -8x^2 + 4x - 5

Therefore, the simplified form of the given expression is -8x^2 + 4x - 5.