Simplifying the Expression: (2x^2 - 2x^4) - (x^4 - x^2)
This expression involves subtracting one polynomial from another. To simplify it, we can follow these steps:
1. Distribute the negative sign:
The minus sign in front of the second parenthesis means we multiply each term inside by -1. This gives us:
2x^2 - 2x^4 - x^4 + x^2
2. Combine like terms:
We can now combine the terms with the same variable and exponent:
(-2x^4 - x^4) + (2x^2 + x^2)
3. Simplify:
Combining the terms results in:
-3x^4 + 3x^2
Therefore, the simplified form of the expression (2x^2 - 2x^4) - (x^4 - x^2) is -3x^4 + 3x^2.