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

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

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

simplify

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

x^{2} - y^{2}

Solution steps

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

Apply Difference of Two Squares

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

= x^{2} - y^{2}

(x + c)^{2} + y^{2}

\frac{x ( 18 - x ) ( 36 - x )}{6}

- 30 t + 780 (1 - e^{- \frac{t}{3}})

(sin (x) - cos (x))^{2}

\frac{1}{π ( a ^{2} - b ^{2} )} + \frac{4 b \cdot c}{π ( a ^{4} - b ^{4} )}

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