化简 ((x+2)/(x-3))((x-2)/(x-3))

解答

化简

(\frac{x + 2}{x - 3}) (\frac{x - 2}{x - 3})

\frac{( x + 2 ) ( x - 2 )}{( x - 3 ) ^{2}}

求解步骤

(\frac{x + 2}{x - 3}) (\frac{x - 2}{x - 3})

化简

(\frac{x + 2}{x - 3}) (\frac{x - 2}{x - 3}) : \frac{x + 2}{x - 3} \cdot \frac{x - 2}{x - 3}

= \frac{x + 2}{x - 3} \cdot \frac{x - 2}{x - 3}

使用分式法则:

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

= \frac{( x + 2 ) ( x - 2 )}{( x - 3 ) ( x - 3 )}

使用指数法则:

aa = a^{2}

(x - 3) (x - 3) = (x - 3)^{2}

= \frac{( x + 2 ) ( x - 2 )}{( x - 3 ) ^{2}}

f a c t or 4 x^{3} + 8 x^{2} - 6 x - 12

s im pl i f y \frac{8}{( x ^{2} + 6 x + 9 )} + \frac{4}{( x + 3 )}

s im pl i f y \frac{( 2 ^{n + 2} + 2 ^{n} )}{( 2 ^{n - 2} + 2 ^{n} )}

s im pl i f y a^{2} - a - (x^{2} + 7 x - 12)

s im pl i f y 12 x - 4 x^{5} x^{2}