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受欢迎的代数 >

化简 a/(a-b)-(2ab)/(a^2-b^2)

解答

化简

\frac{a}{a - b} - \frac{2 ab}{a ^{2} - b ^{2}}

解答

\frac{a}{a + b}

求解步骤

\frac{a}{a - b} - \frac{2 ab}{a ^{2} - b ^{2}}

a - b, a^{2} - b^{2}

的最小公倍数:

(a - b) (a^{2} - b^{2})

根据最小公倍数调整分式

= \frac{a ( a ^{2} - b ^{2} )}{( a - b ) ( a ^{2} - b ^{2} )} - \frac{2 ab ( a - b )}{( a - b ) ( a ^{2} - b ^{2} )}

使用分式法则:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{a ( a ^{2} - b ^{2} ) - 2 ab ( a - b )}{( a - b ) ( a ^{2} - b ^{2} )}

化简

a (a^{2} - b^{2}) - 2 ab (a - b) : a^{3} + a b^{2} - 2 a^{2} b

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

消掉

\frac{a ^{3} + a b ^{2} - 2 a ^{2} b}{( a - b ) ( a ^{2} - b ^{2} )} : \frac{a}{a + b}

= \frac{a}{a + b}

流行的例子

- 4 (x - 3) \geq 2 x + 5

6(2x-1)^2+2=-7(2x-1)

6 (2 x - 1)^{2} + 2 = - 7 (2 x - 1)

6 (x + 4) + 1 = x + 5

因式分解 x^2-4xy-77y^2

f a c t or x^{2} - 4 x y - 77 y^{2}

\frac{1}{2} + \frac{3}{2} + 6 - 3