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Byju's Answer
Standard VIII
Mathematics
Expansion of (x^2 - y^2)
Factorise eac...
Question
Factorise each of the following
8
p
3
−
12
5
p
2
+
6
25
p
−
1
125
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Solution
8
p
3
−
12
5
p
2
+
6
25
p
−
1
125
=
(
2
p
)
3
−
3
(
2
p
)
2
(
1
5
)
+
3
(
2
p
)
(
1
5
)
2
−
(
1
5
)
3
We know that
x
3
−
3
x
2
y
+
3
x
y
2
−
y
3
=
(
x
−
y
)
3
Compair both we get
∴
(
2
p
)
3
−
3
(
2
p
)
2
(
1
5
)
+
3
(
2
p
)
(
1
5
)
2
−
(
1
5
)
3
=
(
2
p
−
1
5
)
3
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0
Similar questions
Q.
Factorise the following :
8
p
3
+
12
5
p
2
+
6
25
p
+
1
125
Q.
Factorise the following:
(i)
1
–
6
4
a
3
–
12
a
+
48
a
2
(ii)
8
p
3
+
12
5
p
2
+
6
25
p
+
1
125
Q.
Question 32
Factorise the following:
(i)
1
–
6
4
a
3
–
12
a
+
48
a
2
(ii)
8
p
3
+
12
5
p
2
+
6
25
p
+
1
125
Q.
Evaluate:
8
P
3
+
12
5
P
2
+
6
25
P
+
1
125
At
P
=
1
Q.
Question 32
Factorise the following:
(i)
1
–
6
4
a
3
–
12
a
+
48
a
2
(ii)
8
p
3
+
12
5
p
2
+
6
25
p
+
1
125
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