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How do you simplify #(4x^3 + 8x^2 - 10x) + (12x^3 -2x^2 +3x +9) #?

Answer 1

See the entire simplification process below:

First, remove all of the terms from parenthesis:

#4color(red)(x^3) + 8color(blue)(x^2) - 10color(green)(x) + 12color(red)(x^3) - 2color(blue)(x^2) + 3color(green)(x) + 9#

Next, group like terms:

#4color(red)(x^3) + 12color(red)(x^3) + 8color(blue)(x^2) - 2color(blue)(x^2) - 10color(green)(x) + 3color(green)(x) + 9#

Now, combine like terms:

#(4 + 12)color(red)(x^3) + (8 - 2)color(blue)(x^2) + (-10 + 3)color(green)(x) + 9#

#16color(red)(x^3) + 6color(blue)(x^2) - 7color(green)(x) + 9#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.