(x^2-5x-36)-(x-9)

Jasonbradley

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Jun 17, 2024

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Simplifying the Expression (x^2 - 5x - 36) - (x - 9)

This article will guide you through simplifying the expression (x^2 - 5x - 36) - (x - 9).

Understanding the Expression

The expression consists of two parts:

• (x^2 - 5x - 36): This is a quadratic trinomial.
• (x - 9): This is a linear binomial.

We are asked to subtract the second expression from the first.

Steps for Simplifying

1. Distribute the negative sign: Remember that subtracting an expression is the same as adding its opposite. So, we distribute the negative sign in front of the second expression: (x^2 - 5x - 36) + (-1)(x - 9)

2. Simplify by multiplying: Multiply the -1 with each term inside the parentheses: (x^2 - 5x - 36) + (-x + 9)

3. Combine like terms: Identify terms with the same variable and exponent and combine their coefficients: (x^2) + (-5x - x) + (-36 + 9)

4. Final Simplification: Combine the coefficients: x^2 - 6x - 27

Conclusion

Therefore, the simplified form of the expression (x^2 - 5x - 36) - (x - 9) is x^2 - 6x - 27.