To solve the expression 2x³ × 4 × 6x² × 11x × 10 × x² × 2 × x, we first need to rearrange and group the coefficients together and the similar variable terms:
1. **Combine the coefficients**: Start by multiplying the numerical values together:
- 2 × 4 = 8
- 8 × 6 = 48
- 48 × 11 = 528
- 528 × 10 = 5280
- 5280 × 2 = 10560
So, the coefficient part of the expression is 10560.
2. **Combine the variable terms**: Now, let’s multiply the variable parts:
- x³
- x²
- x
- x²
- x
This can be done by adding the exponents:
- 3 (from x³) + 2 (from x²) + 1 (from x) + 2 (from x²) + 1 (from x) = 9
Thus, the variable part becomes x⁹.
3. **Combine both parts together**: The final expression is the product of the coefficients and the variables:
10560x⁹
This is the simplified form of the original expression.