化简 (x^2+5x)/(x^2+7x+10)

解答

化简

\frac{x ^{2} + 5 x}{x ^{2} + 7 x + 10}

\frac{x}{x + 2}

求解步骤

\frac{x ^{2} + 5 x}{x ^{2} + 7 x + 10}

因式分解

x^{2} + 5 x : x (x + 5)

= \frac{x ( x + 5 )}{x ^{2} + 7 x + 10}

因式分解

x^{2} + 7 x + 10 : (x + 2) (x + 5)

= \frac{x ( x + 5 )}{( x + 2 ) ( x + 5 )}

约分:

x + 5

= \frac{x}{x + 2}

s im pl i f y x x x x

e x p an d (2 a^{2} - x + 4)^{2}

s im pl i f y 2 x^{2} + 4 \times (- 6)

- 3.5 \div \frac{1}{2}

s im pl i f y \frac{9}{8 x} - \frac{3}{4 x}