(−5x2+5x−5)−(3x2+x)

less than a minute read Jun 17, 2024
(−5x2+5x−5)−(3x2+x)

Simplifying the Expression: (−5x2+5x−5)−(3x2+x)

This expression involves subtracting one polynomial from another. To simplify it, we'll follow these steps:

1. Distribute the Negative Sign:

Since we're subtracting the entire second polynomial, we need to distribute the negative sign to each term inside the parentheses.

(-5x<sup>2</sup> + 5x - 5) - (3x<sup>2</sup> + x) becomes
-5x<sup>2</sup> + 5x - 5 - 3x<sup>2</sup> - x

2. Combine Like Terms:

Now, we identify terms with the same variable and exponent and combine their coefficients:

-5x<sup>2</sup> - 3x<sup>2</sup> + 5x - x - 5

This simplifies to:

-8x<sup>2</sup> + 4x - 5

Therefore, the simplified form of the expression (−5x<sup>2</sup>+5x−5)−(3x<sup>2</sup>+x) is -8x<sup>2</sup> + 4x - 5.

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