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

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)

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)

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