化简 ((3m)/4-1/6)(m/4-5/6)

解答

化简

(\frac{3 m}{4} - \frac{1}{6}) (\frac{m}{4} - \frac{5}{6})

\frac{( 9 m - 2 ) ( 3 m - 10 )}{144}

求解步骤

(\frac{3 m}{4} - \frac{1}{6}) (\frac{m}{4} - \frac{5}{6})

合并

\frac{3 m}{4} - \frac{1}{6} : \frac{9 m - 2}{12}

= \frac{9 m - 2}{12} (\frac{m}{4} - \frac{5}{6})

使用分式法则:

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

= \frac{( 9 m - 2 ) ( \frac{m}{4} - \frac{5}{6} )}{12}

化简

(9 m - 2) (\frac{m}{4} - \frac{5}{6}) : \frac{( 9 m - 2 ) ( m \cdot 3 - 10 )}{12}

= \frac{\frac{( 9 m - 2 ) ( m \cdot 3 - 10 )}{12}}{12}

使用分式法则:

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

= \frac{( 9 m - 2 ) ( m \cdot 3 - 10 )}{12 \cdot 12}

数字相乘:

12 \cdot 12 = 144

= \frac{( 9 m - 2 ) ( m \cdot 3 - 10 )}{144}

= \frac{( 9 m - 2 ) ( 3 m - 10 )}{144}

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

s im pl i f y (x + i) (x - 8 + i) (x - 8 - i)

e x p an d 4 sin (\frac{π}{4})

e x p an d \frac{( x ^{3} - 1 ) ( x ^{3} - x ^{2} + 1 )}{x ^{5} + x + 1}

e x p an d \frac{13 ( s + 2 )}{s ( s + 8 ) ( s + 1 )}