What is (sqrt(x^2+3)-2)*(sqrt(x^2+3)+2) ?

The solution to (sqrt(x^2+3)-2)*(sqrt(x^2+3)+2) is x^2-1

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simplify (sqrt(x^2+3)-2)*(sqrt(x^2+3)+2)

simplify

(x^{2} + 3 - 2) \cdot (x^{2} + 3 + 2)

x^{2} - 1

Solution steps

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

Apply Difference of Two Squares

(x^{2} + 3 - 2) (x^{2} + 3 + 2) : x^{2} - 1

= x^{2} - 1

(s + \frac{1}{2})^{2}

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

\frac{x ^{2}}{( x - 3 ) ( x - 5 )}

5 (1 + \frac{2}{x ^{3}})

What is (sqrt(x^2+3)-2)*(sqrt(x^2+3)+2) ?
The solution to (sqrt(x^2+3)-2)*(sqrt(x^2+3)+2) is x^2-1