化简 ((3a)/5+b/2)((3a)/5-b/2)

解答

化简

(\frac{3 a}{5} + \frac{b}{2}) (\frac{3 a}{5} - \frac{b}{2})

\frac{( 6 a + 5 b ) ( 6 a - 5 b )}{100}

求解步骤

(\frac{3 a}{5} + \frac{b}{2}) (\frac{3 a}{5} - \frac{b}{2})

化简

\frac{3 a}{5} + \frac{b}{2} : \frac{6 a + 5 b}{10}

= \frac{6 a + 5 b}{10} (\frac{3 a}{5} - \frac{b}{2})

化简

\frac{3 a}{5} - \frac{b}{2} : \frac{6 a - 5 b}{10}

= \frac{6 a + 5 b}{10} \cdot \frac{6 a - 5 b}{10}

使用分式法则:

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

= \frac{( 6 a + 5 b ) ( 6 a - 5 b )}{10 \cdot 10}

数字相乘:

10 \cdot 10 = 100

= \frac{( 6 a + 5 b ) ( 6 a - 5 b )}{100}

e x p an d - \frac{10 ( - x + 2 )}{( x + 1 ) ^{4}}

e x p an d (4 x^{2} - \frac{3}{2 x})^{12}

e x p an d - \frac{sec ^{2} ( \frac{x}{2} )}{( tan ( \frac{x}{2} ) - 1 ) ^{2}}

e x p an d - \frac{1}{8} (36 x - 16 y)

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