How do you combine like terms in #(5x ^ { 2} - 3x + 27) + ( 4x ^ { 2} + 9x - 82)#?

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Answer 1 · 2017-02-23T12:13:27

See the entire solution process below:

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

#5color(red)(x^2) - 3color(blue)(x) + color(green)(27) + 4color(red)(x^2) + 9color(blue)(x) - color(green)(82)#

Next, rewrite this expression to group like terms:

#5color(red)(x^2) + 4color(red)(x^2) - 3color(blue)(x) + 9color(blue)(x) + color(green)(27) - color(green)(82)#

Now, combine like terms:

#(5 + 4)color(red)(x^2) + (-3 + 9)color(blue)(x) - color(green)(55)#

#9color(red)(x^2) + 6color(blue)(x) - color(green)(55)#