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

Jasonbradley

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Jun 16, 2024

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

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

Understanding the Expression

The expression involves combining like terms. This means grouping together terms that have the same variable raised to the same power. For example, p^2 and -4p^2 are like terms, while p^2 and p are not.

Simplifying the Expression

1. Distribute the negative sign: The minus sign before the second set of parentheses means we need to multiply each term inside the parentheses by -1:

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

2. Combine like terms: Now that we've distributed the negative sign, we can combine the like terms:

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

3. Simplify:

   5p^2 + 2p

Conclusion

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