How do you combine like terms in $(3n ^ { 3} + 4n ^ { 2} - 7) + ( 9n ^ { 3} - 2n + 5)$ ?

Question

688 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-28T14:36:41

See a solution process below:

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

$3n^3 + 4n^2 - 7 + 9n^3 - 2n + 5$

Next, group like terms:

$3n^3 + 9n^3 + 4n^2 - 2n - 7 + 5$

Now, combine like terms:

$(3 + 9)n^3 + 4n^2 - 2n + (-7 + 5)$

$12n^3 + 4n^2 - 2n + (-2)$

$12n^3 + 4n^2 - 2n - 2$

How do you combine like terms in (3n ^ { 3} + 4n ^ { 2} - 7) + ( 9n ^ { 3} - 2n + 5)(3n ^ { 3} + 4n ^ { 2} - 7) + ( 9n ^ { 3} - 2n + 5)?