化简 ((c+2)^2)/(7c^2+14c)

解答

化简

\frac{( c + 2 ) ^{2}}{7 c ^{2} + 14 c}

\frac{c + 2}{7 c}

求解步骤

\frac{( c + 2 ) ^{2}}{7 c ^{2} + 14 c}

因式分解

7 c^{2} + 14 c : 7 c (c + 2)

= \frac{( c + 2 ) ^{2}}{7 c ( c + 2 )}

使用指数法则:

a^{b + c} = a^{b} \cdot a^{c}

(c + 2)^{2} = (c + 2) (c + 2)

= \frac{( c + 2 ) ( c + 2 )}{7 c ( c + 2 )}

约分:

c + 2

= \frac{c + 2}{7 c}

\frac{2 x}{4} = 5

55 > - 7 v + 6

x^{2} + 13 x + 46 = 0

lo g_{2} (x^{2} - x) > 1 - lo g_{0.5} (x)

s im pl i f y (3 6 a^{9})^{4}