Answer:
4b^(2)+12b+9
Step-by-step explanation:
Rewrite
4
b
2
as
(
2
b
)
2
.
(
2
b
)
2
+
12
b
+
9
Rewrite
9
as
3
2
.
(
2
b
)
2
+
12
b
+
3
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
⋅
(
2
b
)
⋅
3
Simplify.
2
a
b
=
12
b
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
2
b
and
b
=
3
.
(
2
b
+
3
)
2
