The simplified form of a-x-a-b-x-a-c-x2-a2 is

The correct option is A a(x a)+b(x+a) cx^2 a^2 a/x+a+b/x a c/x^2 a^2=(x a)a+(x+a)b c/x^2 a^2 ...

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Properties of Iota

The simplifie...

Question

The simplified form of $\frac{a}{x + a} + \frac{b}{x - a} - \frac{c}{x^{2} - a^{2}}$ is

\frac{a (x - a) + b (x + a) - c}{x^{2} - a^{2}}

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\frac{b (x - a) + a (x + a) - c}{(x - a)^{2}}

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\frac{b (x - a) + a (x + a) - c}{x^{2} - a^{2}}

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\frac{a (x - a) + b (x + a) + c}{x^{2} - a^{2}}

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\frac{1}{x (x^{2} + a^{2})} = \frac{A}{x} + \frac{B x + C}{x^{2} + a^{2}}

{tan}^{- 1} (\frac{A}{B}) =

lim x \to 0 f (x)

f (x) = \frac{\sqrt{a^{2} - a x + x^{2}} - \sqrt{a^{2} + a x + x^{2}}}{\sqrt{a + x} - \sqrt{a - x}}

The value of ${lim}_{x \to 0} \frac{\sqrt{a^{2} - a x + x^{2}} - \sqrt{a^{2} + a x + x^{2}}}{\sqrt{a + x} - \sqrt{a - x}}$ is

l i m x \to 0 \frac{\sqrt{a^{2} - a x + x^{2}} - \sqrt{a^{2} + a x + x^{2}}}{\sqrt{a + x} - \sqrt{a - x}}

\frac{\sqrt{a^{2} + a x + x^{2}} - \sqrt{a^{2} - a x + x^{2}}}{\sqrt{a + x} - \sqrt{a - x}},

x = 0

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