Final answer to the problem
$\frac{2hx\left(\sqrt{x-h}+\sqrt{2x+h}\right)}{x-h-2x-h}$
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Step-by-step Solution
Learn how to solve factor by difference of squares problems step by step online. Rationalize and simplify the expression (2hx)/((x-h)^(1/2)-(2x+h)^(1/2)). Multiply and divide the fraction \frac{2hx}{\sqrt{x-h}-\sqrt{2x+h}} by the conjugate of it's denominator \sqrt{x-h}-\sqrt{2x+h}. Multiplying fractions \frac{2hx}{\sqrt{x-h}-\sqrt{2x+h}} \times \frac{\sqrt{x-h}+\sqrt{2x+h}}{\sqrt{x-h}+\sqrt{2x+h}}. Solve the product of difference of squares \left(\sqrt{x-h}-\sqrt{2x+h}\right)\left(\sqrt{x-h}+\sqrt{2x+h}\right).
Final answer to the problem
$\frac{2hx\left(\sqrt{x-h}+\sqrt{2x+h}\right)}{x-h-2x-h}$
