5a³(a⁹-6x)+(2a⁴)³-10a³x

To simplify the expression 5a³(a⁹-6x)+(2a⁴)³-10a³x, we can start by applying the distributive property to the first term:

= 5a³(a⁹) - 5a³(6x) + (2a⁴)³ - 10a³x

Next, we can simplify the exponents within each term:

= 5a^(3+9) - 30a³x + 8a^(4*3) - 10a³x

= 5a¹² - 30a³x + 8a¹² - 10a³x

Now, we can combine like terms:

= (5a¹² + 8a¹²) - (30a³x + 10a³x)

= 13a¹² - 40a³x

So, the simplified form of the expression is 13a¹² - 40a³x.