How do you add #(4x^7+8x^2+20x) + (10x^6+4x^3-14x^2)#?

Question

1503 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-24T11:24:46

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^7 + 8x^2 + 20x + 10x^6 + 4x^3 - 14x^2#

Next, group like terms:

#4x^7 + 10x^6 + 4x^3 + 8x^2 - 14x^2 + 20x#

Now, combine like terms:

#4x^7 + 10x^6 + 4x^3 + (8 - 14)x^2 + 20x#

#4x^7 + 10x^6 + 4x^3 + (-6)x^2 + 20x#

#4x^7 + 10x^6 + 4x^3 - 6x^2 + 20x#