What is expand (sqrt(x^2-25)(x^2+1))/(x^2) ?

The solution to expand (sqrt(x^2-25)(x^2+1))/(x^2) is sqrt(x^2-25)+(sqrt(x^2-25))/(x^2)

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expand (sqrt(x^2-25)(x^2+1))/(x^2)

expand

\frac{x ^{2} - 25 ( x ^{2} + 1 )}{x ^{2}}

x^{2} - 25 + \frac{x ^{2} - 25}{x ^{2}}

Solution steps

\frac{x ^{2} - 25 ( x ^{2} + 1 )}{x ^{2}}

Expand

x^{2} - 25 (x^{2} + 1) : x^{2} x^{2} - 25 + x^{2} - 25

= \frac{x ^{2} x ^{2} - 25 + x ^{2} - 25}{x ^{2}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{2} x ^{2} - 25 + x ^{2} - 25}{x ^{2}} = \frac{x ^{2} x ^{2} - 25}{x ^{2}} + \frac{x ^{2} - 25}{x ^{2}}

= \frac{x ^{2} x ^{2} - 25}{x ^{2}} + \frac{x ^{2} - 25}{x ^{2}}

Cancel

\frac{x ^{2} x ^{2} - 25}{x ^{2}} : x^{2} - 25

= x^{2} - 25 + \frac{x ^{2} - 25}{x ^{2}}

(z + \frac{4}{3})^{2} - \frac{25}{9}

\frac{( x + 1 ) ^{2}}{4 ^{x + 1}} - \frac{x ^{2}}{4 ^{x}}

π (2 x + 4)^{2}

1 + \frac{( 3 n - 3 ) ( 3 n - 4 ) ( 3 n - 5 )}{2}

(4 x^{2} + 4 y^{2} - 2 x) \cdot (4 x + 4 y y^{'} (x) - 1)

What is expand (sqrt(x^2-25)(x^2+1))/(x^2) ?
The solution to expand (sqrt(x^2-25)(x^2+1))/(x^2) is sqrt(x^2-25)+(sqrt(x^2-25))/(x^2)