化简 (15a^3-5ab-10a^2b^2)/(-5ab)

解答

化简

\frac{15 a ^{3} - 5 ab - 10 a ^{2} b ^{2}}{- 5 ab}

- \frac{3 a ^{2} - b - 2 a b ^{2}}{b}

求解步骤

\frac{15 a ^{3} - 5 ab - 10 a ^{2} b ^{2}}{- 5 ab}

因式分解

15 a^{3} - 5 ab - 10 a^{2} b^{2} : 5 a (3 a^{2} - b - 2 a b^{2})

= \frac{5 a ( 3 a ^{2} - b - 2 a b ^{2} )}{- 5 ab}

约分:

5

= \frac{a ( 3 a ^{2} - b - 2 a b ^{2} )}{- ab}

约分:

a

= \frac{3 a ^{2} - b - 2 a b ^{2}}{- b}

使用分式法则:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{3 a ^{2} - b - 2 a b ^{2}}{b}

s im pl i f y 3 - 64 x^{5}

\frac{44}{5}

s im pl i f y \frac{( 2 x ^{2} - 5 x - 3 )}{( x - 3 )}

e x p an d (3 m + 5 n)^{2}

s im pl i f y \frac{3}{3 + 2}