Factorize. 25x^25x2-624x-25
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25
x
2
+
60
x
+
36
, the first and third term are complete square as
25
x
2
=
(
5
x
)
2
and
36
=
6
2
and middle term is double the product of
5
x
and
3
i.e.
2
×
5
x
×
6
=
60
x
Hence using the identity
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
25
x
2
+
60
x
+
36
=
(
5
x
)
2
+
2
×
5
x
×
6
x
+
6
2
=
(
5
x
+
6
)
2
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