vereinfachen (sqrt(n^2+n-1)-kn)(sqrt(n^2+n-1)+kn)

Lösung

vereinfachen

(n^{2} + n - 1 - kn) (n^{2} + n - 1 + kn)

n^{2} + n - 1 - k^{2} n^{2}

Schritte zur Lösung

(n^{2} + n - 1 - kn) (n^{2} + n - 1 + kn)

Apply Difference of Two Squares

(n^{2} + n - 1 - kn) (n^{2} + n - 1 + kn) : n^{2} + n - 1 - k^{2} n^{2}

= n^{2} + n - 1 - k^{2} n^{2}

s im pl i f y (x + \frac{1}{2}) (x - 5)

e x p an d \frac{d ^{2} y}{d ^{2} x} (x + x y + y = 1)

s im pl i f y (x + \frac{1}{2}) (x - 1)

e x p an d \frac{e ^{2 s}}{( s + 4 ) ( s + 3 )}

e x p an d (3 + 1) + (3 - 1) i