How do you combine like terms in (1110a27a4)+(2a2+2+14a4)?

1 Answer
Jun 14, 2017

7a48a29

Explanation:

Terms can only be combined if they have the same exponential power. LIKE TERMS = terms with the same exponent and variable

Your terms of (1110a27a4)+(2a2+2+14a14):
11;10a2;7a4;2a2;2;14a4

Notice how 10a2 and 2a2 are both squared (exponent is 2). Combine the two terms by adding the coefficients.
10a2+2a2=8a2

Do the same for the other terms:
7a4+14a4=7a4 [Both raised to the 4th power.]
11+2=9 [Both raised to the 1st power.]

Combine all the "new terms" together into an expression because you cannot simplify anymore. Make sure to order the terms from highest power to lowest power in your final expression.
8a2;7a4;9

7a48a29 is your final answer!