What is expand (sqrt((x+h)^2-3)-sqrt(x^2-3))/h ?

The solution to expand (sqrt((x+h)^2-3)-sqrt(x^2-3))/h is (sqrt(x^2+2xh+h^2-3))/h-(sqrt(x^2-3))/h

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expand (sqrt((x+h)^2-3)-sqrt(x^2-3))/h

expand

\frac{( x + h ) ^{2} - 3 - x ^{2} - 3}{h}

\frac{x ^{2} + 2 x h + h ^{2} - 3}{h} - \frac{x ^{2} - 3}{h}

Solution steps

\frac{( x + h ) ^{2} - 3 - x ^{2} - 3}{h}

Expand

(x + h)^{2} - 3 : x^{2} + 2 x h + h^{2} - 3

= \frac{x ^{2} + 2 x h + h ^{2} - 3 - x ^{2} - 3}{h}

Apply the fraction rule:

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

\frac{x ^{2} + 2 x h + h ^{2} - 3 - x ^{2} - 3}{h} = \frac{x ^{2} + 2 x h + h ^{2} - 3}{h} - \frac{x ^{2} - 3}{h}

= \frac{x ^{2} + 2 x h + h ^{2} - 3}{h} - \frac{x ^{2} - 3}{h}

\frac{4 x ^{2} - x + 6}{( x ^{2} + 2 ) ( x - 1 )}

(w + x \cdot y) (x \cdot, + w) (w + f)

\frac{1}{x ( a x + 1 )}

\frac{1}{( s + 6 ) ( s + 3 )}

(x^{4})^{12}

What is expand (sqrt((x+h)^2-3)-sqrt(x^2-3))/h ?
The solution to expand (sqrt((x+h)^2-3)-sqrt(x^2-3))/h is (sqrt(x^2+2xh+h^2-3))/h-(sqrt(x^2-3))/h