化简 (3x-3/4)(3x+3/4)

解答

化简

(3 x - \frac{3}{4}) (3 x + \frac{3}{4})

\frac{( 12 x - 3 ) ( 12 x + 3 )}{16}

求解步骤

(3 x - \frac{3}{4}) (3 x + \frac{3}{4})

合并

3 x - \frac{3}{4} : \frac{12 x - 3}{4}

= \frac{12 x - 3}{4} (3 x + \frac{3}{4})

使用分式法则:

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

= \frac{( 12 x - 3 ) ( 3 x + \frac{3}{4} )}{4}

化简

(12 x - 3) (3 x + \frac{3}{4}) : \frac{( 12 x - 3 ) ( 12 x + 3 )}{4}

= \frac{\frac{( 12 x - 3 ) ( 12 x + 3 )}{4}}{4}

使用分式法则:

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

= \frac{( 12 x - 3 ) ( 12 x + 3 )}{4 \cdot 4}

数字相乘:

4 \cdot 4 = 16

= \frac{( 12 x - 3 ) ( 12 x + 3 )}{16}

e x p an d \frac{2 x ^{\frac{5}{3}} ( 4 t ^{2} - x )}{t ^{\frac{1}{3}}}

e x p an d \frac{2 ( x + 1 )}{( 3 x + 7 ) ^{\frac{1}{3}}}

e x p an d \frac{6 x ^{2}}{( 1 - 9 x ) ^{2}}

s im pl i f y (3 + i)^{8}

e x p an d cos (3 (t - \frac{π}{2}))