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

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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:

$4 u^{3} + 4 u^{2} + 2 + 6 u^{3} - 2 u + 8$ $4u^3 + 4u^2 + 2 + 6u^3 - 2u + 8$

Next, group like terms:

$4 u^{3} + 6 u^{3} + 4 u^{2} - 2 u + 2 + 8$ $4u^3 + 6u^3 + 4u^2 - 2u + 2 + 8$

Now, combine like terms:

$(4 + 6) u^{3} + 4 u^{2} - 2 u + (2 + 8)$ $(4 + 6)u^3 + 4u^2 - 2u + (2 + 8)$

$10 u^{3} + 4 u^{2} - 2 u + 10$ $10u^3 + 4u^2 - 2u + 10$

What is the standard form of a polynomial (4u^3 + 4u^2 + 2) + (6u^3 - 2u + 8)(4u3+4u2+2)+(6u3−2u+8)(4u^3 + 4u^2 + 2) + (6u^3 - 2u + 8)?