How do you add #(6x ^ { 3} y - 8x y + 2) + ( 5x ^ { 3} y + 8x y + 2x )#?

Question

520 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-26T02:13:27

See a solution process below:

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

#6color(red)(x^3y) - 8color(blue)(xy) + 2 + 5color(red)(x^3y) + 8color(blue)(xy) + 2color(orange)(x)#

Next, group like terms:

#6color(red)(x^3y) + 5color(red)(x^3y) - 8color(blue)(xy) + 8color(blue)(xy) + 2color(orange)(x) + 2#

Now, combine like terms:

#(6 + 5)color(red)(x^3y) + (-8 + 8)color(blue)(xy) + 2color(orange)(x) + 2#

#11color(red)(x^3y) + 0color(blue)(xy) + 2color(orange)(x) + 2#

#11color(red)(x^3y) + 2color(orange)(x) + 2#