To simplify the expression, start by distributing the terms inside the parentheses:
5c^3(4c-3) - 2c^2(8c^2-12)
= 20c^4 - 15c^3 - 16c^4 + 24c^2
Now, combine like terms:
= 20c^4 - 16c^4 - 15c^3 + 24c^2
= 4c^4 - 15c^3 + 24c^2
Therefore, the simplified expression is 4c^4 - 15c^3 + 24c^2.
To simplify the expression, start by distributing the terms inside the parentheses:
5c^3(4c-3) - 2c^2(8c^2-12)
= 20c^4 - 15c^3 - 16c^4 + 24c^2
Now, combine like terms:
= 20c^4 - 16c^4 - 15c^3 + 24c^2
= 4c^4 - 15c^3 + 24c^2
Therefore, the simplified expression is 4c^4 - 15c^3 + 24c^2.