%E2%88%92(3x2%2Bx)answer.jpeg "(−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