化简 (\frac{-4x-12)/(x-7)}{(x^2-12x+36)/(2x-14)}

解答

化简

\frac{\frac{- 4 x - 12}{x - 7}}{\frac{x ^{2} - 12 x + 36}{2 x - 14}}

\frac{2 ( - 4 x - 12 )}{x ^{2} - 12 x + 36}

求解步骤

\frac{\frac{- 4 x - 12}{x - 7}}{\frac{x ^{2} - 12 x + 36}{2 x - 14}}

使用分式法则:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( - 4 x - 12 ) ( 2 x - 14 )}{( x - 7 ) ( x ^{2} - 12 x + 36 )}

消掉

\frac{( - 4 x - 12 ) ( 2 x - 14 )}{( x - 7 ) ( x ^{2} - 12 x + 36 )} : \frac{( - 4 x - 12 ) \cdot 2}{x ^{2} - 12 x + 36}

= \frac{( - 4 x - 12 ) \cdot 2}{x ^{2} - 12 x + 36}

= \frac{2 ( - 4 x - 12 )}{x ^{2} - 12 x + 36}

f a c t or 2 - 12 x

s im pl i f y 5^{2 x}

f a c t or \frac{1}{25} x^{4} - \frac{9}{16} y^{4}

s im pl i f y (x^{3} + 4)^{2} + ln ((2 x)^{x})

e x p an d (x + 1) (2 x + 3)