How do you simplify $(9 v^{2} + 4 v + 2) + (5 v^{2} - 5 v + 6) - (6 v^{2} - 5 v - 5)$ $(9v ^ { 2} + 4v + 2) + ( 5v ^ { 2} - 5v + 6) - ( 6v ^ { 2} - 5v - 5)$ ?

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Answer 1 · 2017-05-30T01:04:34

See a solution process below:

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

$9 v^{2} + 4 v + 2 + 5 v^{2} - 5 v + 6 - 6 v^{2} + 5 v + 5$ $9v^2 + 4v + 2 + 5v^2 - 5v + 6 - 6v^2 + 5v + 5$

Next, group like terms:

$9 v^{2} + 5 v^{2} - 6 v^{2} + 4 v - 5 v + 5 v + 2 + 6 + 5$ $9v^2 + 5v^2 - 6v^2 + 4v - 5v + 5v + 2 + 6 + 5$

Now, combine like terms:

$(9 + 5 - 6) v^{2} + (4 - 5 + 5) v + (2 + 6 + 5)$ $(9 + 5 - 6)v^2 + (4 - 5 + 5)v + (2 + 6 + 5)$

$8 v^{2} + 4 v + 13$ $8v^2 + 4v + 13$

How do you simplify (9v2+4v+2)+(5v2−5v+6)−(6v2−5v−5)(9v ^ { 2} + 4v + 2) + ( 5v ^ { 2} - 5v + 6) - ( 6v ^ { 2} - 5v - 5)?