化简 (2+sqrt(2))4

解答

化简

(2 + 2) 4

8 + 42

十进制

13.65685 \dots

求解步骤

(2 + 2) \cdot 4

= 4 (2 + 2)

使用分配律:

a (b + c) = ab + a c

4 (2 + 2) = 4 \cdot 2 + 42

= 4 \cdot 2 + 42

数字相乘:

4 \cdot 2 = 8

= 8 + 42

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

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

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

e x p an d \frac{n ^{2} ( n + 1 ) ^{2}}{4} + (n + 1)

s im pl i f y (1 + \frac{1}{8 n}) x^{2} - 2 x + 1