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Standard VIII
Mathematics
Question
If
a
−
b
=
4
,
a
2
+
b
2
+
a
b
=
8
,
t
h
e
n
a
3
−
b
3
=
?
244
32
240
none
A
240
B
32
C
244
D
none
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Solution
Verified by Toppr
Solution:- (A) 32
As we know that,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
Given:-
a
−
b
=
4
a
2
+
b
2
+
a
b
=
8
∴
a
3
−
b
3
=
4
×
8
=
32
Hence, the correct answer is 32.
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