Simplifying the Expression: (13x^3-13x^4)+(6xy^3-9x^3)-(x^4+12xy^3)
This expression involves combining like terms. Let's break it down step by step:
1. Identify Like Terms:
- x^4 terms: -13x^4, -x^4
- x^3 terms: 13x^3, -9x^3
- xy^3 terms: 6xy^3, -12xy^3
2. Combine Like Terms:
- x^4 terms: -13x^4 - x^4 = -14x^4
- x^3 terms: 13x^3 - 9x^3 = 4x^3
- xy^3 terms: 6xy^3 - 12xy^3 = -6xy^3
3. Write the Simplified Expression:
The simplified expression is: -14x^4 + 4x^3 - 6xy^3
Therefore, the simplified form of the given expression is -14x^4 + 4x^3 - 6xy^3.