How do you combine like terms in $(3x ^ { 2} - 6x + 18) - ( 2x ^ { 2} - 6x + 14)$ ?

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Answer 1 · 2017-02-24T23:57:12

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:

$3color(red)(x^2) - 6color(blue)(x) + 18 - 2color(red)(x^2) + 6color(blue)(x) - 14$

Next, group like terms:

$3color(red)(x^2) - 2color(red)(x^2) - 6color(blue)(x) + 6color(blue)(x) + 18 - 14$

Now, combine like terms:

$(3 - 2)color(red)(x^2) + (-6 + 6)color(blue)(x) + 4$

$1color(red)(x^2) + 0color(blue)(x) + 4$

$color(red)(x^2) + 4$

How do you combine like terms in (3x ^ { 2} - 6x + 18) - ( 2x ^ { 2} - 6x + 14)(3x ^ { 2} - 6x + 18) - ( 2x ^ { 2} - 6x + 14)?