Question: 2(3x^3 - 4x + 1)

Solution

To solve the expression \(2(3x^3 - 4x + 1)\), use the distributive property. First, distribute the 2 to each term inside the parentheses: \[ 2 \cdot 3x^3 = 6x^3 \] \[ 2 \cdot (-4x) = -8x \] \[ 2 \cdot 1 = 2 \] Combine the results: \[ 6x^3 - 8x + 2 \] The simplified expression is \(6x^3 - 8x + 2\).