How do you simplify #(8v-5v^{3})-(4v^{3}-6v)#?

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Answer 1 · 2017-06-21T21:26:40

#-v^3 + 14v#

Distribute the negative sign on the second term. Remember, two negative signs make a positive.

#8v - 5v^3 - 4v^3 + 6v#

Combine like terms:

#8v + 6v - 5v^3 + 4v^3#

#14v - v^3#

If you want, place the number with the highest power at the front.

#-v^3 + 14v#

You might even factor out common factors.

#v(-v^2 + 14)#