1-x-1-y 1-x-1-y - a 1-x2-1-y2 b 1-x2-1-y2 c 1-x2-1-y2-1-xy d 1-x2-1-y2-1-xy

( 1/x+1/y ) ( 1/x 1/y )= ( 1/x )^2 ( 1/y )^2=1/x^2 1/y^2 ...

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Algebraic Identities

1/x+1/y 1/x-1...

Question

$(\frac{1}{x} + \frac{1}{y}) (\frac{1}{x} - \frac{1}{y}) = ?$
(a) $(\frac{1}{x^{2}} - \frac{1}{y^{2}})$
(b) $(\frac{1}{x^{2}} + \frac{1}{y^{2}})$
(c) $(\frac{1}{x^{2}} + \frac{1}{y^{2}} - \frac{1}{x y})$
(d) $(\frac{1}{x^{2}} - \frac{1}{y^{2}} + \frac{1}{x y})$

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Solution

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