因式分解 (3u+4)/(u+2)-u

解答

因式分解

\frac{3 u + 4}{u + 2} - u

\frac{- u ^{2} + u + 4}{u + 2}

求解步骤

\frac{3 u + 4}{u + 2} - u

将项转换为分式:

u = \frac{u ( u + 2 )}{u + 2}

= \frac{3 u + 4}{u + 2} - \frac{u ( u + 2 )}{u + 2}

因为分母相等，所以合并分式:

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

= \frac{3 u + 4 - u ( u + 2 )}{u + 2}

乘开

3 u + 4 - u (u + 2) : - u^{2} + u + 4

= \frac{- u ^{2} + u + 4}{u + 2}

f a c t or 25 x^{2} u + 40 x^{2} v + 15 y u + 24 y v

f a c t or (3^{2} 6^{4} 8^{3})^{2}

f a c t or y^{'} (x) + (x)

f a c t or 2.6 x^{2} + 2.5 x + (- 3.2)

f a c t or x^{3} + π x x^{2}