Divide $a^{2} - b^{2}$ by $a^{1 / 2} - b^{1 / 2}$

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Solution

Steps:
Step 1: Multiply $a^{\frac{1}{2}} - b^{\frac{1}{2}}$ with $a^{\frac{3}{2}}$ , to get $a^{2}$ , Remainder $= a^{\frac{3}{2}} b^{\frac{1}{2}} - b^{2}$
Complete Step 2 and step 3 in the same way.
Step 4:Multiply $a^{\frac{1}{2}} - b^{\frac{1}{2}}$ with $b^{\frac{3}{2}}$ , to get $a^{\frac{1}{2}} b^{\frac{3}{2}} - b^{2}$ , Remainder $= 0$

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