(1) \( \frac{1}{4 x-2 y}-\frac{1}{y-2 x} \)

Calculate or simplify the expression \( 1/(4x-2y)-1/(y-2x) \). Simplify the expression by following steps: - step0: Solution: \(\frac{1}{\left(4x-2y\right)}-\frac{1}{\left(y-2x\right)}\) - step1: Remove the parentheses: \(\frac{1}{4x-2y}-\frac{1}{y-2x}\) - step2: Rewrite the fractions: \(\frac{1}{4x-2y}+\frac{1}{-y+2x}\) - step3: Factor the expression: \(\frac{1}{2\left(2x-y\right)}+\frac{1}{-y+2x}\) - step4: Reduce fractions to a common denominator: \(\frac{1}{2\left(2x-y\right)}+\frac{2}{\left(-y+2x\right)\times 2}\) - step5: Reorder the terms: \(\frac{1}{2\left(2x-y\right)}+\frac{2}{2\left(-y+2x\right)}\) - step6: Rewrite the expression: \(\frac{1}{2\left(2x-y\right)}+\frac{2}{2\left(2x-y\right)}\) - step7: Transform the expression: \(\frac{1+2}{2\left(2x-y\right)}\) - step8: Add the numbers: \(\frac{3}{2\left(2x-y\right)}\) - step9: Simplify: \(\frac{3}{4x-2y}\) The simplified form of the expression \( \frac{1}{4x-2y}-\frac{1}{y-2x} \) is \( \frac{3}{4x-2y} \).