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

The solution to expand (sqrt(x^2+1)-x)(sqrt(x^2-1)+x) is sqrt(x^4-1)+xsqrt(x^2+1)-xsqrt(x^2-1)-x^2

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

expand

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

x^{4} - 1 + x x^{2} + 1 - x x^{2} - 1 - x^{2}

Solution steps

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

Apply FOIL method

(x^{2} + 1 - x) (x^{2} - 1 + x) : x^{4} - 1 + x x^{2} + 1 - x x^{2} - 1 - x^{2}

= x^{4} - 1 + x x^{2} + 1 - x x^{2} - 1 - x^{2}

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

\frac{sin ( 4 θ )}{2 cos ^{2} ( θ ) ( 4 cos ^{2} ( θ ) - 3 )}

x + sin (y) - cos (y) d x + x (sin (y) + cos (y) d y = 0)

(10 x + 2)^{3} (x - i) (8 x^{4} - 4) (9 x^{2} + 12 x + 3)

2 x e^{7 x + 2} + e^{7 x + 2} \cdot 7 (x^{2} + 7)

What is expand (sqrt(x^2+1)-x)(sqrt(x^2-1)+x) ?
The solution to expand (sqrt(x^2+1)-x)(sqrt(x^2-1)+x) is sqrt(x^4-1)+xsqrt(x^2+1)-xsqrt(x^2-1)-x^2