(4p^2-p-3)-(p^2+2p-5)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (4p^2 - p - 3) - (p^2 + 2p - 5)

This article will guide you through the process of simplifying the algebraic expression (4p^2 - p - 3) - (p^2 + 2p - 5).

Understanding the Problem

The expression involves subtracting two trinomials. To simplify this, we need to distribute the negative sign to the second trinomial and then combine like terms.

Step-by-Step Solution

1. Distribute the negative sign: (4p^2 - p - 3) - (p^2 + 2p - 5) = 4p^2 - p - 3 - p^2 - 2p + 5

2. Combine like terms: (4p^2 - p^2) + (-p - 2p) + (-3 + 5) = 3p^2 - 3p + 2

Conclusion

Therefore, the simplified form of the expression (4p^2 - p - 3) - (p^2 + 2p - 5) is 3p^2 - 3p + 2.