化简 (a/6-(x^3)/5)(a/6+(x^3)/5)

解答

化简

(\frac{a}{6} - \frac{x ^{3}}{5}) (\frac{a}{6} + \frac{x ^{3}}{5})

\frac{( 5 a - 6 x ^{3} ) ( 5 a + 6 x ^{3} )}{900}

求解步骤

(\frac{a}{6} - \frac{x ^{3}}{5}) (\frac{a}{6} + \frac{x ^{3}}{5})

化简

\frac{a}{6} - \frac{x ^{3}}{5} : \frac{5 a - 6 x ^{3}}{30}

= \frac{5 a - 6 x ^{3}}{30} (\frac{a}{6} + \frac{x ^{3}}{5})

使用分式法则:

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

= \frac{( 5 a - 6 x ^{3} ) ( \frac{a}{6} + \frac{x ^{3}}{5} )}{30}

化简

(5 a - 6 x^{3}) (\frac{a}{6} + \frac{x ^{3}}{5}) : \frac{( 5 a - 6 x ^{3} ) ( a \cdot 5 + x ^{3} \cdot 6 )}{30}

= \frac{\frac{( 5 a - 6 x ^{3} ) ( a \cdot 5 + x ^{3} \cdot 6 )}{30}}{30}

使用分式法则:

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

= \frac{( 5 a - 6 x ^{3} ) ( a \cdot 5 + x ^{3} \cdot 6 )}{30 \cdot 30}

数字相乘:

30 \cdot 30 = 900

= \frac{( 5 a - 6 x ^{3} ) ( a \cdot 5 + x ^{3} \cdot 6 )}{900}

= \frac{( 5 a - 6 x ^{3} ) ( 5 a + 6 x ^{3} )}{900}

s im pl i f y 4 (cos^{2} (2 x) + sin^{2} (2 y))

e x p an d (5 - 22) (5 + 2)

e x p an d 800 (2 x + 7 y = 121)

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

e x p an d \frac{8}{( ( x ^{2} + 2 ) ( x ^{2} - 6 ) )}