Factors of 1-10x+25x2
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2
Answer:
Rewrite
1
as
1
2
.
(
5
x
)
2
+
10
x
+
1
2
Check the middle term by multiplying
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
(
5
x
)
⋅
1
Simplify.
2
a
b
=
10
x
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
5
x
and
b
=
1
.
(
5
x
+
1
)
2
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