Question

02-O valor da expressao \frac{a+b}{a-b} - \frac{ab+ b^{2} }{ a^{2}- b^{2} } é:

Answer 1

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

$\frac{a+b}{a-b} - \frac{b(a+b)}{(a+b)(a-b)}=$

$\frac{a+b}{a-b} - \frac{b}{(a-b)}=$

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

$\frac{a}{a-b}$

Answer 2

$\dfrac{a+b}{a-b} - \dfrac{ab+ b^{2} }{ a^{2}- b^{2} } \\ \\ \\ \dfrac{a+b}{a-b} - \dfrac{b.(a+b)}{ (a-b).(a+b)} } \\ \\ \\ \dfrac{a+b}{a-b} - \dfrac{b (\not a+\not b)}{ (a-b).(\not a+ \not b)} } \\ \\ \\ \dfrac{a+b}{a-b} - \dfrac{b }{ (a-b)} } \\ \\ \\ =\ \textgreater \ \dfrac{a}{a - b}$