Factorize : 25x^2-y^2/49
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2
Answer:
25
x
2
−
49
Rewrite
25
x
2
as
(
5
x
)
2
.
(
5
x
)
2
−
49
Rewrite
49
as
7
2
.
(
5
x
)
2
−
7
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
5
x
and
b
=
7
.
(
5
x
+
7
)
(
5
x
−
7
)
Step-by-step explanation:
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