Question

Calcule o valor numérico da espressão:
a) $\frac{x ^{2}+2xy+y ^{2} }{x-y}$ para x=1 e y= $\frac{1}{2}$

Answer 1

$x+y=1+ \frac{1}{2}= \frac{2}{2}+ \frac{1}{2}= \frac{2+1}{2}=\frac{3}{2}\\ \\x-y=1- \frac{1}{2}= \frac{2}{2}- \frac{1}{2}= \frac{2-1}{2}=\frac{1}{2}\\ \\ \frac{x ^{2}+2xy+y ^{2} }{x-y}= \frac{(x+y)^2}{x-y} =\frac{(3/2)^2}{1/2} =\frac{9/4}{1/2} =\frac{9}{4}\cdot\frac{2}{1} =\frac{18^{:2}}{4_{:2}} =\frac{9}{2}$