What is (sqrt(n^2+n-1)-kn)(sqrt(n^2+n-1)+kn) ?

The solution to (sqrt(n^2+n-1)-kn)(sqrt(n^2+n-1)+kn) is n^2+n-1-k^2n^2

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

simplify

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

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

Solution steps

(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}

(x + \frac{1}{2}) (x - 5)

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

(x + \frac{1}{2}) (x - 1)

\frac{e ^{2 s}}{( s + 4 ) ( s + 3 )}

(3 + 1) + (3 - 1) i

What is (sqrt(n^2+n-1)-kn)(sqrt(n^2+n-1)+kn) ?
The solution to (sqrt(n^2+n-1)-kn)(sqrt(n^2+n-1)+kn) is n^2+n-1-k^2n^2