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

Mar 16, 2018

$37 {a}^{3} + 30 {a}^{2} + 3 a + 40$

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:

$42 {a}^{3} + 30 {a}^{2} + 36 - 5 {a}^{3} + 3 a + 4$

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