solve using suitable identity 36x^-24x+4
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Step-by-step explanation:
36x^2-24x+4
36
x
2
−
24
x
+
4
Factor
4
out of
36
x
2
−
24
x
+
4
.
Factor
4
out of
36
x
2
.
4
(
9
x
2
)
−
24
x
+
4
Factor
4
out of
−
24
x
.
4
(
9
x
2
)
+
4
(
−
6
x
)
+
4
Factor
4
out of
4
.
4
(
9
x
2
)
+
4
(
−
6
x
)
+
4
(
1
)
Factor
4
out of
4
(
9
x
2
)
+
4
(
−
6
x
)
.
4
(
9
x
2
−
6
x
)
+
4
(
1
)
Factor
4
out of
4
(
9
x
2
−
6
x
)
+
4
(
1
)
.
4
(
9
x
2
−
6
x
+
1
)
Factor using the perfect square rule.
Rewrite
9
x
2
as
(
3
x
)
2
.
4
(
(
3
x
)
2
−
6
x
+
1
)
Rewrite
1
as
1
2
.
4
(
(
3
x
)
2
−
6
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
⋅
(
3
x
)
⋅
−
1
Simplify.
2
a
b
=
−
6
x
Factor using the perfect square trinomial rule
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
, where
a
=
3
x
and
b
=
−
1
.
4
(
3
x
−
1
)
2
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