(5x^2-6x-9)-(2x^2+8x-1)

Jasonbradley

2 min read

·

Jun 16, 2024

23

Share

Simplifying the Expression (5x^2-6x-9)-(2x^2+8x-1)

This article will guide you through simplifying the given expression: (5x^2-6x-9)-(2x^2+8x-1).

Understanding the Steps

The key to simplifying this expression lies in understanding the concept of distributing the negative sign and combining like terms.

1. Distributing the Negative Sign: We start by distributing the negative sign outside the second set of parentheses. This means multiplying each term inside the parentheses by -1.

   (5x^2 - 6x - 9) + (-1 * 2x^2) + (-1 * 8x) + (-1 * -1)

2. Simplifying: Now, we can simplify the expression by multiplying the negative sign:

   (5x^2 - 6x - 9) - 2x^2 - 8x + 1

3. Combining Like Terms: The final step is to combine the terms with the same variables and exponents.

   (5x^2 - 2x^2) + (-6x - 8x) + (-9 + 1)

4. Result: After combining like terms, we get the simplified expression:

   3x^2 - 14x - 8

Conclusion

Therefore, the simplified form of the expression (5x^2-6x-9)-(2x^2+8x-1) is 3x^2 - 14x - 8.