-(p%5E3-2p%5E2%2B3p).jpeg "(-4p^2+p)-(p^3-2p^2+3p)")
Simplifying the Expression (-4p^2 + p) - (p^3 - 2p^2 + 3p)
This article will walk through the steps to simplify the expression (-4p^2 + p) - (p^3 - 2p^2 + 3p).
Understanding the Expression
The expression involves polynomials - expressions containing variables with exponents. To simplify it, we need to combine like terms.
Simplifying the Expression
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Distribute the negative sign: Since we are subtracting the entire second polynomial, we distribute the negative sign to each term within the parentheses.
(-4p^2 + p) - (p^3 - 2p^2 + 3p) = -4p^2 + p - p^3 + 2p^2 - 3p
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Rearrange terms: Let's rearrange the terms by grouping like terms together (terms with the same variable and exponent).
-p^3 -4p^2 + 2p^2 + p - 3p
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Combine like terms: Add or subtract coefficients of the like terms.
-p^3 -2p^2 -2p
Simplified Expression
The simplified form of the expression (-4p^2 + p) - (p^3 - 2p^2 + 3p) is -p^3 - 2p^2 - 2p.