Simplify the following:
3 x^3 x + 6 x^3 + 6 x - 8 x - 5 + 2
3 x^3 x = 3 x^(3 + 1):
3 x^(3 + 1) + 6 x^3 + 6 x - 8 x - 5 + 2
3 + 1 = 4:
3 x^4 + 6 x^3 + 6 x - 8 x - 5 + 2
Grouping like terms, 3 x^4 + 6 x^3 + 6 x - 8 x - 5 + 2 = 3 x^4 + 6 x^3 + (-8 x + 6 x) + (-5 + 2):
3 x^4 + 6 x^3 + (-8 x + 6 x) + (-5 + 2)
6 x - 8 x = -2 x:
3 x^4 + 6 x^3 + -2 x + (-5 + 2)
2 - 5 = -3:
Answer: 3 x^4 + 6 x^3 - 2 x + -3