1,5x(3+2x)

To simplify the expression \(1.5x(3 + 2x)\), we can distribute \(1.5x\) to both terms inside the parentheses: \[ 1.5x(3) + 1.5x(2x) \] Now we perform the multiplication: \[ 1.5x \cdot 3 = 4.5x \] \[ 1.5x \cdot 2x = 3.0x^2 \] Combining these results, we get: \[ 1.5x(3 + 2x) = 4.5x + 3.0x^2 \] So, the simplified expression is: \[ 3.0x^2 + 4.5x \] You can write it as: \[ 3x^2 + 4.5x \] if you prefer, but both forms effectively convey the same result.