To divide the expression 3x^3 * 2x^2 * 2 by x^2, we first need to multiply the terms in the numerator.
Start by combining the coefficients and the like terms:
- The coefficients: 3 * 2 * 2 = 12
- The variable parts: x^3 * x^2 = x^{3+2} = x^5
This gives us 12x^5 in the numerator.
Now, we divide this by x^2:
12x^5 ÷ x^2
When dividing like bases, we subtract the exponents:
- x^{5-2} = x^3
Thus, the division simplifies to:
12x^3
In conclusion, 3x^3 * 2x^2 * 2 ÷ x^2 = 12x^3.