Questions: (-1/10 x)(3/5 x)

Solution Steps

To solve the given expression, we need to multiply the two fractions and then simplify the result. Specifically, we will multiply the numerators together and the denominators together, and then simplify the resulting fraction if possible.

We start by defining the two fractions involved in the expression: \[ \text{fraction1} = -\frac{1}{10}, \quad \text{fraction2} = \frac{3}{5} \]

Next, we multiply the two fractions by multiplying their numerators and denominators: \[ \left(-\frac{1}{10}\right) \times \left(\frac{3}{5}\right) = \frac{(-1) \times 3}{10 \times 5} = \frac{-3}{50} \]

The resulting fraction \(\frac{-3}{50}\) is already in its simplest form.

Since the original expression involved \(x\), we include \(x^2\) in the final result: \[ \frac{-3}{50} x^2 \]

Final Answer