化简 (x^2-25)/(x^2-7x+10)

解答

化简

\frac{x ^{2} - 25}{x ^{2} - 7 x + 10}

\frac{x + 5}{x - 2}

求解步骤

\frac{x ^{2} - 25}{x ^{2} - 7 x + 10}

因式分解

x^{2} - 25 : (x + 5) (x - 5)

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

因式分解

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

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

约分:

x - 5

= \frac{x + 5}{x - 2}

s im pl i f y 248 - 327

e x p an d (a^{3} - a + a^{2}) (a - 1)

s im pl i f y (x - 6) 2

s im pl i f y \frac{\frac{x ^{2} - 1}{2 x + 2}}{\frac{x ^{2} - 6 x + 5}{2 x ^{2}}}

s im pl i f y 2 \times \frac{1}{2}