1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Expansion of (a ± b)³
Find the cube...
Question
Find the cube of 3a - 2b .
A
27
a
3
−
8
b
3
−
54
a
2
b
+
36
a
b
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
27
a
3
−
54
b
3
−
8
a
2
b
+
36
a
b
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
27
a
3
+
8
b
3
+
54
a
2
b
+
36
a
b
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
27
a
3
−
8
b
3
−
54
a
2
b
−
36
a
b
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
27
a
3
−
8
b
3
−
54
a
2
b
+
36
a
b
2
(
a
−
b
)
3
=
a
3
−
b
3
−
3
a
b
(
a
−
b
)
(
3
a
−
2
b
)
3
=
(
3
a
)
3
−
(
2
b
)
3
−
3
×
3
a
×
2
b
(
3
a
−
2
b
)
=
(
3
a
)
3
−
(
2
b
)
3
−
18
a
b
(
3
a
−
2
b
)
=
27
a
3
−
8
b
3
−
54
a
2
b
+
36
a
b
2
Suggest Corrections
0
Similar questions
Q.
Factorise the following:
27
a
3
−
8
b
3
−
54
a
2
b
+
36
a
b
2
Q.
Factorise
27
a
3
+
8
b
3
−
18
a
2
b
−
12
a
b
2
Q.
Factorise using suitable identities:
27
a
3
+
8
b
3
−
27
c
3
+
18
a
b
c
Q.
27
a
3
−
(
3
a
−
b
)
3
.
Q.
8x
3
y
3
+ 27a
3