Simplify - 3p^3+5p + (-2p^2) + (-4) - 12p + 5 - (-8p^3)

Question

Mathematics

Boston Sheppard

10 March, 04:28

Simplify - 3p^3+5p + (-2p^2) + (-4) - 12p + 5 - (-8p^3)

+2

Answers (1)

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Brynlee Davis · Answer 1

Simplify the following:

8 p^3 - 3 p^3 - 2 p^2 + 5 p - 12 p - 4 + 5

Grouping like terms, 8 p^3 - 3 p^3 - 2 p^2 + 5 p - 12 p - 4 + 5 = (-3 p^3 + 8 p^3) - 2 p^2 + (5 p - 12 p) + (-4 + 5):

(-3 p^3 + 8 p^3) - 2 p^2 + (5 p - 12 p) + (-4 + 5)

8 p^3 - 3 p^3 = 5 p^3:

5 p^3 - 2 p^2 + (5 p - 12 p) + (-4 + 5)

5 p - 12 p = - 7 p:

5 p^3 - 2 p^2 + - 7 p + (-4 + 5)

5 - 4 = 1:

Answer: 5 p^3 - 2 p^2 - 7 p + 1