expand the following
(2x+36)³
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:Answer
(
2
x
+
3
y
)
3
=
8
x
3
+
36
x
2
y
+
54
x
y
2
+
27
y
3
Explanation:
Using Binomial theorem expansion,
(
x
+
y
)
3
=
x
3
+
3
x
2
y
+
3
x
y
2
+
y
3
Hence
(
2
x
+
3
y
)
3
=
(
2
x
)
3
+
3
(
2
x
)
2
⋅
3
y
+
3
(
2
x
)
(
3
y
)
2
+
(
3
y
)
3
=
8
x
3
+
3
⋅
4
x
2
⋅
3
y
+
3
⋅
2
x
⋅
9
y
2
+
27
y
3
=
8
x
3
+
36
x
2
y
+
54
x
y
2
+
27
y
3
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