What is ((sqrt(x^2+1)+sqrt(x^2-1))^2)/2 ?

The solution to ((sqrt(x^2+1)+sqrt(x^2-1))^2)/2 is x^2+sqrt(x^2+1)sqrt(x^2-1)

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simplify ((sqrt(x^2+1)+sqrt(x^2-1))^2)/2

simplify

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

x^{2} + x^{2} + 1 x^{2} - 1

Solution steps

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

Expand

(x^{2} + 1 + x^{2} - 1)^{2} : 2 x^{2} + 2 x^{2} + 1 x^{2} - 1

= \frac{2 x ^{2} + 2 x ^{2} + 1 x ^{2} - 1}{2}

Factor out common term

2

= \frac{2 ( x ^{2} + x ^{2} + 1 x ^{2} - 1 )}{2}

Cancel the common factor:

2

= x^{2} + x^{2} + 1 x^{2} - 1

(x^{2} - \frac{5}{4}) e^{x}

\frac{5 x}{( 1 - x ) ^{2}}

A (- 4, - 5)

\frac{d}{d t} ((x) (- 6 x + 2 y))

\frac{13}{( s + 1 ) ^{3}}

What is ((sqrt(x^2+1)+sqrt(x^2-1))^2)/2 ?
The solution to ((sqrt(x^2+1)+sqrt(x^2-1))^2)/2 is x^2+sqrt(x^2+1)sqrt(x^2-1)