(2x^2-2x^4)-(x^4-x^2)

less than a minute read Jun 16, 2024
(2x^2-2x^4)-(x^4-x^2)

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.

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