Simplify the following expression.
w
2
−
6
w
+
5
w
2
+
5
w
−
6
⋅
w
2
+
12
w
+
36
w
2
−
25
÷
w
2
−
4
w
−
60
w
2
−
17
w
+
70
\displaystyle \frac{{{w}^{{2}}-{6}{w}+{5}}}{{{w}^{{2}}+{5}{w}-{6}}}\cdot\frac{{{w}^{{2}}+{12}{w}+{36}}}{{{w}^{{2}}-{25}}}\div\frac{{{w}^{{2}}-{4}{w}-{60}}}{{{w}^{{2}}-{17}{w}+{70}}}
w
2
+
5
w
−
6
w
2
−
6
w
+
5
⋅
w
2
−
25
w
2
+
12
w
+
36
÷
w
2
−
17
w
+
70
w
2
−
4
w
−
60
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