展开-(42x^5(x+1))/(55y^2)

解答

展开

- \frac{42 x ^{5} ( x + 1 )}{55 y ^{2}}

- \frac{42 x ^{6}}{55 y ^{2}} - \frac{42 x ^{5}}{55 y ^{2}}

求解步骤

- \frac{42 x ^{5} ( x + 1 )}{55 y ^{2}}

乘开

42 x^{5} (x + 1) : 42 x^{6} + 42 x^{5}

= - \frac{42 x ^{6} + 42 x ^{5}}{55 y ^{2}}

使用分式法则:

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

\frac{42 x ^{6} + 42 x ^{5}}{55 y ^{2}} = - (\frac{42 x ^{6}}{55 y ^{2}}) - (\frac{42 x ^{5}}{55 y ^{2}})

= - (\frac{42 x ^{6}}{55 y ^{2}}) - (\frac{42 x ^{5}}{55 y ^{2}})

去除括号:

(a) = a

= - \frac{42 x ^{6}}{55 y ^{2}} - \frac{42 x ^{5}}{55 y ^{2}}

e x p an d \frac{15}{x ( x - 5 )}

e x p an d (e^{x} - 5)^{3}

e x p an d \frac{9 x ( 2 x + 5 )}{( 5 x - 2 ) ^{2}}

e x p an d \frac{( n - 1 ) ( n - 2 )}{2}

e x p an d \frac{4 n}{( 2 + 2 i ) ^{2}}