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Byju's Answer
Standard IX
Mathematics
Identity (x+y)(x-y)
Factorise (x...
Question
Factorise (x + y + z)^5 -x^5 -y^5 -z^5
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Similar questions
Q.
Show that
(
x
+
y
+
z
)
2
−
x
5
−
y
5
−
z
5
=
5
(
y
+
z
)
(
z
+
x
)
(
x
+
y
)
(
x
2
+
y
2
+
z
2
+
y
z
+
z
x
+
x
y
)
.
Q.
Eliminate
x
,
y
,
z
from the equations
x
+
y
+
z
=
0
,
x
2
+
y
2
+
z
2
=
a
2
,
x
3
+
y
3
+
z
3
=
b
3
,
x
5
+
y
5
+
z
5
=
c
5
.
Q.
Construct the composition table for ×
5
on Z
5
= {0, 1, 2, 3, 4}.
Q.
Write the degree of each of the following polynomials:
x
5
y
6
−
7
x
3
y
10
+
20
x
5
y
6
z
5
Q.
Find the coefficient of
x
2
y
2
z
in the multiple expansion of
(
x
+
y
+
z
)
5
.
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