How do you simplify #(5- v - 2v^2) - (-7 + 3v + 7v^2)#?

1 Answer
Rene
Mar 8, 2016

Simplification of question: #12-4v-9v^2#

Explanation:

Simplifying is the process of what I like to define cancelling like terms.
In this case, your equation is #(5−v−2v^2)−(−7+3v+7v^2)# and It is already noticeable that there are like terms, which are the #v^2# ones.
Now, in order to do the first step of simplification we need to extract the elements from the second equation.Since it is negative sign in front of the second parenthesis, all signs inside will become opposite once they are on the outside. Therefore I have:

#5−v−2v^2+7-3v-7v^2#

we have 3 sets of like terms:

  1. #5+7= 12#

  2. # -v-3v=-4v#

  3. #−2v^2-7v^2=-9v^2#

Therefore we can write our simplification as following:
#12-4v-9v^2#

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