Question

simplifique as expressões:

a)xy²/a³/x²/a⁴


b)a²-b²/xy/2a+2b/2y

Answer 1

$a)\\ \\ \frac{\frac{xy^{2}}{a^{3}}}{\frac{x^{2}}{a^{4}}} =\frac{xy^{2}}{a^{3}} .\frac{a^{4}}{x^{2}} \\ \\ simplifique\\ \\ a^{4} :a^{3} =a\\ \\ x:x^{2} =\frac{1}{x} \\ \\ \frac{y^{2}a}{x}$

$b)\\ \\ \frac{\frac{a^{2}-b^{2}}{xy}}{\frac{2a+2b}{2y}} =\frac{a^{2}-b^{2}}{xy} .\frac{2y}{2.(a+b)} =\\ \\ a^{2} - b^{2} =(a+b).(a-b) \\ \\ \frac{(a+b).(a-b)}{xy} ~.~ \frac{2y}{2.(a+b)} \\ \\ simplifique~cortando~y~com~y;~(a+b)~com~(a+b)~e~2~com~2 \\ \\ \frac{a-b}{x}$