(2x+3)^3 what is the answer
Answers
Answered by
1
Step-by-step explanation:
The binomial formula that you need here is
(
a
+
b
)
3
=
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
Let me colour the same formula to add clarity:
(
a
+
b
)
3
=
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
In your case, you would like to expand
(
2
x
+
3
)
3
, so your
a
=
2
x
and
b
=
3
Now, you need to plug
2
x
for every occurence of
a
in the formula and plug
3
for every occurence of
b
in the formula:
(
2
x
+
3
)
3
=
(
2
x
)
3
+
3
⋅
(
2
x
)
2
⋅
3
+
3
⋅
2
x
⋅
3
2
+
3
3
=
(
2
x
)
3
+
3
⋅
(
2
x
)
2
⋅
3
+
3
⋅
(
2
x
)
⋅
3
2
+
3
3
=
2
3
x
3
+
9
⋅
2
2
x
2
+
3
⋅
2
x
⋅
9
+
27
=
8
x
3
+
36
x
2
+
54
x
+
27
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