Find the value of the polynomial:

6a^3-a^10+4a^3+a^10-8a^3+a for a=-3

-57

Step-by-step explanation:

We can collect terms to simplify the arithmetic.

... = a^3 (6 + 4 - 8) + a^10 (-1 + 1) + a

... = 2a^3 + a

... = a (2a^2 + 1)

For a = - 3, this is

... - 3 (2 (-3) ² + 1) = - 3 (2·9 + 1)

... = - 3·19 = - 57