化简 (x-3/2)(x-1/2)

解答

化简

(x - \frac{3}{2}) (x - \frac{1}{2})

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

求解步骤

(x - \frac{3}{2}) (x - \frac{1}{2})

化简

x - \frac{3}{2} : \frac{2 x - 3}{2}

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

使用分式法则:

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

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

化简

(2 x - 3) (x - \frac{1}{2}) : \frac{( 2 x - 3 ) ( x \cdot 2 - 1 )}{2}

= \frac{\frac{( 2 x - 3 ) ( 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 - 3 ) ( x \cdot 2 - 1 )}{2 \cdot 2}

数字相乘:

2 \cdot 2 = 4

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

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

e x p an d (15 + x) (\frac{15 + x}{2})^{2}

e x p an d + 10 y^{2} a t (2, 1, - 14)

e x p an d \frac{4 x ^{2} + 16 x}{( x - 2 ) ^{2} ( x ^{2} + 4 )}

s im pl i f y (\frac{1}{4} - x) (\frac{1}{4} + x)

s im pl i f y 80 (10 + 1)