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Class-10»Maths

simplify x+a/x-a - x-a/x+a + 4ax/a²-x²

$\frac{x + a}{x - a} - \frac{x - a}{x + a} + \frac{4 a x}{a^{2} - x^{2}} = \frac{x + a}{x - a} - \frac{x - a}{x + a} - \frac{4 a x}{x^{2} - a^{2}} = \frac{(x + a)^{2} - (x - a)^{2} - 4 a x}{x^{2} - a^{2}} = \frac{x^{2} + 2 a x + a^{2} - (x^{2} - 2 a x + a^{2}) - 4 a x}{x^{2} - a^{2}} = \frac{x^{2} + 2 a x + a^{2} - x^{2} + 2 a x - a^{2} - 4 a x}{x^{2} - a^{2}} = 0$

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