What is the standard form of a polynomial #(4u^3 + 4u^2 + 2) + (6u^3 - 2u + 8)#?

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Answer 1 · 2017-05-21T11:20:13

See a solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#4u^3 + 4u^2 + 2 + 6u^3 - 2u + 8#

Next, group like terms:

#4u^3 + 6u^3 + 4u^2 - 2u + 2 + 8#

Now, combine like terms:

#(4 + 6)u^3 + 4u^2 - 2u + (2 + 8)#

#10u^3 + 4u^2 - 2u + 10#