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Simplify $(3p^3 - 5p + 6) + (4 - 6p^2 + 2p)$. Express your answer in the form $Ap^3 + Bp^2 + Cp +D$, where $A$, $B$, $C$, and $D$ are numbers (possibly negative).

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sqdancefan

Answer:

  3p^3 -6p^2 -3p +10

Step-by-step explanation:

You want to simplify the sum (3p^3 - 5p + 6) + (4 - 6p^2 + 2p).

Like terms

Since the coefficient in front of each set of parentheses is +1, the parentheses can be removed.

  = 3p^3 - 5p + 6 + 4 - 6p^2 + 2p

Like terms are ones with the same exponent. They can be combined. It can be useful to list them in order of decreasing exponent.

  = 3p^3 -6p^2 +(-5+2)p +(6 +4)

  = 3p^3 -6p^2 -3p +10

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