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受欢迎的代数 >

化简 ab+(ab)/(a+b)((a+b)/(a-b)-a-b)

解答

化简

ab + \frac{ab}{a + b} (\frac{a + b}{a - b} - a - b)

解答

ab + \frac{ab ( - a + b + 1 )}{a - b}

求解步骤

ab + \frac{ab}{a + b} (\frac{a + b}{a - b} - a - b)

合并

\frac{a + b}{a - b} - a - b : \frac{a + b - a ^{2} + b ^{2}}{a - b}

= ab + \frac{ab}{a + b} \cdot \frac{a + b - a ^{2} + b ^{2}}{a - b}

使用分式法则:

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

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

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

因式分解

a + b - a^{2} + b^{2} : (a + b) (- a + b + 1)

= ab + \frac{ab ( a + b ) ( - a + b + 1 )}{( a + b ) ( a - b )}

约分:

a + b

= ab + \frac{ab ( - a + b + 1 )}{a - b}

流行的例子

\frac{4}{3} x + 5 = 9

(sqrt(3))/2 x=1

\frac{3}{2} x = 1

因式分解 3x^2-3x+7xy-7y

f a c t or 3 x^{2} - 3 x + 7 x y - 7 y

(2x+3)(3x+1)=11x+30

(2 x + 3) (3 x + 1) = 11 x + 30

\frac{3}{5} = \frac{q}{10}