化简 (n+1-sqrt(2))(n+1+sqrt(2))

解答

化简

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

n^{2} + 2 n - 1

求解步骤

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

打开括号

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

化简

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

e x p an d 7 (9 + 3)

e x p an d \frac{20}{6} (8 + h)^{2}

e x p an d (a sin (b) + l sin (θ))^{2}

e x p an d (- sin (2 x) + 3 sin (x))^{2} (- 2 sin (2 x) - 3 sin (x))

e x p an d 20 (\frac{6}{5} - \frac{6}{5} e^{- 20 t})