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Factor the perfect square trinomial
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Theory
Factor the perfect square trinomial
An expression of the form
a
2
+
2
a
b
+
b
2
can be
factored to a perfect square
.
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
An example is the expression
x
2
+
1
0
x
+
2
5
which can be written as
x
2
+
2
⋅
x
⋅
5
+
5
2
,
and thus, be factored to the square of the binomial
x
+
5
.
x
2
+
2
⋅
x
⋅
5
+
5
2
=
(
x
+
5
)
2
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