Final Answer
$z=\frac{\left(xy+1\right)\left(x^{2}y^{2}-xy+1\right)}{2}$
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Step-by-step Solution
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1
Rearrange the equation
$\sqrt[3]{2z-1}=xy$
Learn how to solve equations with cubic roots problems step by step online.
$\sqrt[3]{2z-1}=xy$
Learn how to solve equations with cubic roots problems step by step online. Solve the equation with radicals xy=(2z-1)^1/3. Rearrange the equation. Removing the variable's exponent raising both sides of the equation to the power of 3. The power of a product is equal to the product of it's factors raised to the same power. We need to isolate the dependent variable , we can do that by simultaneously subtracting -1 from both sides of the equation.
Final Answer
$z=\frac{\left(xy+1\right)\left(x^{2}y^{2}-xy+1\right)}{2}$