What is ((sqrt(x^2-4))/x-k)^2 ?

The solution to ((sqrt(x^2-4))/x-k)^2 is (k^2x^2-2kxsqrt(x^2-4)+x^2-4)/(x^2)

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simplify ((sqrt(x^2-4))/x-k)^2

simplify

(\frac{x ^{2} - 4}{x} - k)^{2}

\frac{k ^{2} x ^{2} - 2 k x x ^{2} - 4 + x ^{2} - 4}{x ^{2}}

Solution steps

(\frac{x ^{2} - 4}{x} - k)^{2}

Join

\frac{x ^{2} - 4}{x} - k : \frac{- k x + x ^{2} - 4}{x}

= (\frac{- k x + x ^{2} - 4}{x})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( - k x + x ^{2} - 4 ) ^{2}}{x ^{2}}

Expand

(- k x + x^{2} - 4)^{2} : k^{2} x^{2} - 2 k x x^{2} - 4 + x^{2} - 4

= \frac{k ^{2} x ^{2} - 2 k x x ^{2} - 4 + x ^{2} - 4}{x ^{2}}

5 (2 - 5)

(f (x) = - 3 x + \frac{3}{5}) (x)

\frac{1}{x ^{2} ( x ^{2} + y ^{2} )}

\frac{( x ^{2} + x )}{( x - 4 ) ( x ^{2} + 9 )}

2 (25 + 7)

What is ((sqrt(x^2-4))/x-k)^2 ?
The solution to ((sqrt(x^2-4))/x-k)^2 is (k^2x^2-2kxsqrt(x^2-4)+x^2-4)/(x^2)