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

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

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

simplify

(n + 1 - 2) (n + 1 + 2)

n^{2} + 2 n - 1

Solution steps

(n + 1 - 2) (n + 1 + 2)

Distribute parentheses

= nn + n \cdot 1 + n 2 + 1 \cdot n + 1 \cdot 1 + 1 \cdot 2 - 2 n - 2 \cdot 1 - 22

Simplify

nn + n \cdot 1 + n 2 + 1 \cdot n + 1 \cdot 1 + 1 \cdot 2 - 2 n - 2 \cdot 1 - 22 : n^{2} + 2 n - 1

= n^{2} + 2 n - 1

7 (9 + 3)

\frac{20}{6} (8 + h)^{2}

(a sin (b) + l sin (θ))^{2}

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

20 (\frac{6}{5} - \frac{6}{5} e^{- 20 t})

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