If xy 0 and x y
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15 Jun 2023, 03:26
\(\frac{x^{36} - y^{36}}{(x^{18} + y^{18})(x^9 + y^9)}\)
\(x^{36} - y^{36}\) can be rewritten as \((x^{18} + y^{18})(x^{18} - y^{18})\)
Thus, we can rewrite the original expression as
\(\frac{(x^{18} + y^{18})(x^{18} - y^{18})}{(x^{18} + y^{18})(x^9 + y^9)}\)
We can now cancel \(x^{18} + y^{18}\) in both the numerator and the denominator.
Thus we get
\(\frac{x^{18} - y^{18}}{x^9 + y^9}\)
Since \(x^{18} - y^{18}\) can be rewritten as \((x^9 + y^9 )(x^9 - y^9)\) we can rewrite the expression as
\(\frac{(x^9 + y^9 )(x^9 - y^9)}{x^9 + y^9}\)
We can cancel \((x^9 + y^9)\) in the numerator and the denominator, thus leaving us \(x^9 - y^9\)