What is the standard form of a polynomial #(5x^2 - 4x + 5) - (3x^2 - 6x + 2)#?

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Answer 1 · 2017-03-17T22:26:06

See the entire solution process below:

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

#5x^2 - 4x + 5 - 3x^2 + 6x - 2#

Next, group like terms:

#5x^2 - 3x^2 - 4x + 6x + 5 - 2#

Now, combine like terms:

#(5 - 3)x^2 + (-4 + 6)x + (5 - 2)#

#2x^2 + 2x + 3#