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

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Answer 1 · 2017-07-15T14:40:43

See a solution process below:

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

#4x^3 + 8x^2 - 10x + 12x^3 - 2x^2 + 3x + 9#

Next, group like terms:

#4x^3 + 12x^3 + 8x^2 - 2x^2 - 10x + 3x + 9#

Now, combine like terms:

#(4 + 12)x^3 + (8 - 2)x^2 + (-10 + 3)x + 9#

#16x^3 + 6x^2 + (-7)x + 9#

#16x^3 + 6x^2 - 7x + 9#