What is (a-\frac{ab)/(a+b)}{a+(ab)/(a-b)} ?

The solution to (a-\frac{ab)/(a+b)}{a+(ab)/(a-b)} is (a-b)/(a+b)

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

simplify

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

\frac{a - b}{a + b}

Solution steps

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

Join

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

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

Join

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

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

Apply the fraction rule:

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

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

Cancel the common factor:

a^{2}

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

3.5 \times (5.8 - 7.09)

(5 + 26 + 5 - 26)^{2}

x (x^{2} + 2)

- 8 - 16

What is (a-\frac{ab)/(a+b)}{a+(ab)/(a-b)} ?
The solution to (a-\frac{ab)/(a+b)}{a+(ab)/(a-b)} is (a-b)/(a+b)