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Standard VIII
Mathematics
Question
Factorise the following:
(
a
+
b
)
3
−
8
(
a
+
b
−
2
)
(
a
2
+
2
a
b
+
b
2
+
2
a
+
2
b
+
4
)
(
a
−
b
−
2
)
(
a
2
+
2
a
b
+
b
2
+
2
a
−
2
b
+
4
)
(
a
+
b
−
2
)
(
b
2
+
2
b
+
a
2
+
2
a
b
+
2
b
+
4
)
(
a
+
b
+
2
)
(
a
2
+
2
a
b
+
b
3
+
2
a
+
2
b
+
4
)
A
(
a
+
b
−
2
)
(
a
2
+
2
a
b
+
b
2
+
2
a
+
2
b
+
4
)
B
(
a
−
b
−
2
)
(
a
2
+
2
a
b
+
b
2
+
2
a
−
2
b
+
4
)
C
(
a
+
b
−
2
)
(
b
2
+
2
b
+
a
2
+
2
a
b
+
2
b
+
4
)
D
(
a
+
b
+
2
)
(
a
2
+
2
a
b
+
b
3
+
2
a
+
2
b
+
4
)
Open in App
Solution
Verified by Toppr
(
a
+
b
)
3
−
8
=
(
a
+
b
)
3
−
2
2
Using,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
=
(
a
+
b
)
−
2
[
(
a
+
b
)
2
+
2
(
a
+
b
)
+
(
2
2
)
]
=
(
a
+
b
−
2
)
(
a
2
+
2
a
b
+
b
2
+
2
a
+
2
b
+
4
)
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6
Similar Questions
Q1
Find the equation of the straight line passing through the pair of points (a, b) and (a + b, a-b).
View Solution
Q2
If
a
2
+
2
a
b
+
b
2
a
2
−
b
2
=
2
a
+
2
b
, what is the value of
a
−
b
?
View Solution
Q3
Question 32
The value of
(
a
+
b
)
2
+
(
a
−
b
)
2
is
a)
2
a
+
2
b
b)
2
a
−
2
b
c)
2
a
2
+
2
b
2
a)
2
a
2
+
2
b
2
View Solution
Q4
Find out how much does
a
4
−
3
a
2
b
2
+
b
4
exceed
3
a
4
−
2
a
2
b
2
+
b
4
+
3
a
2
b
+
2
a
b
2
.
View Solution
Q5
Factorise
8
a
3
−
b
3
−
4
a
x
+
2
b
x
View Solution