展开 (-z+zx)/((z+xy)y^{5/7)(x+1)}

解答

展开

\frac{- z + z x}{( z + x y ) y ^{\frac{5}{7}} ( x + 1 )}

\frac{- z + z x}{z x y ^{\frac{5}{7}} + z y ^{\frac{5}{7}} + x ^{2} y ^{\frac{12}{7}} + x y ^{\frac{12}{7}}}

求解步骤

\frac{- z + z x}{( z + x y ) y ^{\frac{5}{7}} ( x + 1 )}

乘开

(z + x y) y^{\frac{5}{7}} (x + 1) : z x y^{\frac{5}{7}} + z y^{\frac{5}{7}} + x^{2} y^{\frac{12}{7}} + x y^{\frac{12}{7}}

= \frac{- z + z x}{z x y ^{\frac{5}{7}} + z y ^{\frac{5}{7}} + x ^{2} y ^{\frac{12}{7}} + x y ^{\frac{12}{7}}}

e x p an d (3 lo g_{10} (x) + 5 x^{2}) (lo g_{10} (x + 5) + 8 x)

s im pl i f y (x + 2) (x - 2) (x - 3) (x + 3)

e x p an d (x + \frac{2}{9})^{3} (x + \frac{1}{3})^{2}

e x p an d \frac{3}{x ( x + 3 )}

e x p an d, 2 (x + 1) (x - 1) (x - 2)