1)
3
3−
10
∗
6
19+6
=
9+2∗3∗
+10
(3+
)
2
3+
(3−
)(3+
−(
9−10
−1
=−1
\begin{gathered}2)\frac{\sqrt{2}y-\sqrt{2}x}{xy}=\sqrt{32}frac{\sqrt{2}(y-x) }{xy}=\sqrt{32}frac{y-x}{xy}=\frac{\sqrt{32}}{\sqrt{2}}frac{y-x}{xy}=4frac{1}{y}-\frac{1}{x}=\frac{x-y}{xy}=-\frac{y-x}{xy}=-4\end{gathered}
2)
xy
y−
x
32
(y−x)
y−x
=4
y
1
−
x−y
=−
=−4
1)
3
3−
10
∗
6
19+6
10
=
3
3−
10
∗
6
9+2∗3∗
10
+10
=
3
3−
10
∗
6
(3+
10
)
2
=
3
3−
10
∗
3
3+
10
=
3
(3−
10
)(3+
10
)
=
3
3
2
−(
10
)
2
=
3
9−10
=
3
−1
=−1
\begin{gathered}2)\frac{\sqrt{2}y-\sqrt{2}x}{xy}=\sqrt{32}frac{\sqrt{2}(y-x) }{xy}=\sqrt{32}frac{y-x}{xy}=\frac{\sqrt{32}}{\sqrt{2}}frac{y-x}{xy}=4frac{1}{y}-\frac{1}{x}=\frac{x-y}{xy}=-\frac{y-x}{xy}=-4\end{gathered}
2)
xy
2
y−
2
x
=
32
xy
2
(y−x)
=
32
xy
y−x
=
2
32
xy
y−x
=4
y
1
−
x
1
=
xy
x−y
=−
xy
y−x
=−4