What is the standard form of a polynomial #(6w^2 – 5w – 8) – (7w^2 + 4w – 2) #?

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Answer 1 · 2017-06-07T21:49:12

See a solution process below:

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

#6w^2 - 5w - 8 - 7w^2 - 4w + 2#

Next, group like terms:

#6w^2 - 7w^2 - 5w - 4w - 8 + 2#

Now, combine like terms:

#(6 - 7)w^2 + (-5 - 4)w + (-8 + 2)#

#-1w^2 + (-9)w + (-6)#

#-1w^2 - 9w - 6#