化简 x/2-(x+1)/(4x+2)-1

解答

化简

\frac{x}{2} - \frac{x + 1}{4 x + 2} - 1

\frac{2 x ^{2} - 4 x - 3}{2 ( 2 x + 1 )}

求解步骤

\frac{x}{2} - \frac{x + 1}{4 x + 2} - 1

合并

\frac{x}{2} - \frac{x + 1}{4 x + 2} : \frac{x ( 2 x + 1 ) - ( x + 1 )}{2 ( 2 x + 1 )}

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

使用分式法则:

a + \frac{b}{c} = \frac{a c + b}{c}

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

数字相乘:

1 \cdot 2 = 2

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

化简

- 2 (2 x + 1) + x (2 x + 1) - (x + 1) : 2 x^{2} - 4 x - 3

= \frac{2 x ^{2} - 4 x - 3}{2 ( 2 x + 1 )}

s im pl i f y \frac{lo g _{7} ( 4 )}{lo g _{7} ( 256 )}

s im pl i f y 5 x 12 x^{5}

e x p an d (x - 2) (2 x + 1)

s im pl i f y \frac{25 x ^{7} y ^{3}}{x y ^{2}}

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