Question

How do you combine like terms in `6( 7a ^ { 3} + 5a ^ { 2} + 6) - ( 5a ^ { 3} - 3a - 4)`?

Answer 1

`37a^3+30a^2+3a+40`

Explanation:

Start by distributing 6 through the first polynomial, and distributing the negative throughout the second (think of an imaginary 1 in front of this polynomial). This will get rid of your parenthesis and make the rest of the process simple.
After distributing, you will have:

`42a^3+30a^2+36-5a^3+3a+4`

Now you can clearly identify your like terms and simplify to get the answer.