Question

REDUCE:

A= $\frac{ab+b²}{ab} + \frac{ab-b²}{ab-a²}$


El Ä mayuscula no representa nada es un error del " ² "

Answer 1

Respuesta:

1

Explicación:

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

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

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

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

$A=\frac{(ab)^{2}-a^{3}b}{(ab)^{2}-a^{3}b}$

$A=1$