Subtract. \[ \frac{3}{5 u^{3} x^{2}}-\frac{7}{2 u^{2} x} \] Simplify your answer as much as possible.

Calculate or simplify the expression \( \frac{3}{5u^{3}x^{2}}-\frac{7}{2u^{2}x} \). Simplify the expression by following steps: - step0: Solution: \(\frac{3}{5u^{3}x^{2}}-\frac{7}{2u^{2}x}\) - step1: Reduce fractions to a common denominator: \(\frac{3\times 2}{5u^{3}x^{2}\times 2}-\frac{7\times 5ux}{2u^{2}x\times 5ux}\) - step2: Multiply the numbers: \(\frac{3\times 2}{10u^{3}x^{2}}-\frac{7\times 5ux}{2u^{2}x\times 5ux}\) - step3: Multiply the numbers: \(\frac{3\times 2}{10u^{3}x^{2}}-\frac{7\times 5ux}{10u^{2}xux}\) - step4: Multiply: \(\frac{3\times 2}{10u^{3}x^{2}}-\frac{7\times 5ux}{10u^{3}x^{2}}\) - step5: Transform the expression: \(\frac{3\times 2-7\times 5ux}{10u^{3}x^{2}}\) - step6: Multiply the numbers: \(\frac{6-7\times 5ux}{10u^{3}x^{2}}\) - step7: Multiply the terms: \(\frac{6-35ux}{10u^{3}x^{2}}\) - step8: Simplify: \(\frac{6-35ux}{10x^{2}u^{3}}\) The simplified form of the expression \(\frac{3}{5u^{3}x^{2}}-\frac{7}{2u^{2}x}\) is \(\frac{6-35ux}{10x^{2}u^{3}}\).