化简 (x-1/2)*(x+1/2)

解答

化简

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

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

求解步骤

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

化简

x - \frac{1}{2} : \frac{2 x - 1}{2}

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

使用分式法则:

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

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

化简

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

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

使用分式法则:

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

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

数字相乘:

2 \cdot 2 = 4

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

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

s im pl i f y 3 6 - x - \frac{x + 10}{3 ( 6 - x ) ^{\frac{2}{3}}}

e x p an d \frac{26}{( x + 3 ) ( x ^{2} + 4 )}

s im pl i f y (3 x - x) \cdot (3 x^{2} + x 3 x + x^{2})

e x p an d \frac{x - 4}{x - 2}

e x p an d \frac{6 x ^{2} - 10 x + 36}{( x ^{2} + 7 ) ( x - 4 )}