Final answer:
To simplify the expression -8(3x^2-4x)-2(2x^2+4), distribute -8 and -2 to the terms inside the parentheses, and then combine like terms. The final simplified expression is -28x^2 + 32x - 8.
Step-by-step explanation:
To simplify the expression -8(3x^2-4x)-2(2x^2+4), we can distribute the -8 and -2 to the terms inside the parentheses. First, we distribute -8 to the terms inside the first set of parentheses:
-8(3x^2-4x) = -24x^2 + 32x
Next, we distribute -2 to the terms inside the second set of parentheses:
-2(2x^2+4) = -4x^2 - 8
Combining these simplified expressions, we get -24x^2 + 32x - 4x^2 - 8. Combining like terms, the final simplified expression is -28x^2 + 32x - 8.