How do you write #(7x^3 + 10x^2 + 5x + 1) + (2x^3 + 8x^2 + 6x + 9)# in standard form?

1 Answer
Sep 29, 2017

See a solution process below:

Explanation:

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

#7x^3 + 10x^2 + 5x + 1 + 2x^3 + 8x^2 + 6x + 9#

Next, group like terms:

#7x^3 + 2x^3 + 10x^2 + 8x^2 + 5x + 6x + 1 + 9#

Now, combine like terms:

#(7 + 2)x^3 + (10 + 8)x^2 + (5 + 6)x + (1 + 9)#

#9x^3 + 18x^2 + 11x + 10#