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Byju's Answer
Standard X
Mathematics
Shifting Entities
U = x + y + z...
Question
U=x+y+z,v=xsquare+ysquare+zsquare,w=yz+zx+xy
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Similar questions
Q.
If
∣
∣ ∣ ∣
∣
y
z
−
x
2
z
x
−
y
2
x
y
−
z
2
x
z
−
y
2
x
y
−
z
2
y
z
−
x
2
x
y
−
z
2
y
z
−
x
2
z
x
−
y
2
∣
∣ ∣ ∣
∣
=
∣
∣ ∣ ∣
∣
r
2
u
2
u
2
u
2
r
2
u
2
u
2
u
2
r
2
∣
∣ ∣ ∣
∣
, then
Q.
Solve:
∣
∣ ∣ ∣
∣
x
x
2
y
z
y
y
2
z
x
z
z
2
x
y
∣
∣ ∣ ∣
∣
=
(
x
−
y
)
(
y
−
z
)
(
z
−
x
)
(
x
y
+
y
z
+
z
x
)
.
Q.
Prove that
∣
∣ ∣ ∣
∣
x
y
z
x
2
y
2
z
2
y
z
z
x
x
y
∣
∣ ∣ ∣
∣
=
(
y
−
z
)
(
z
−
x
)
(
x
−
y
)
(
y
z
+
z
x
+
x
y
)
.
Q.
Show that
∣
∣ ∣ ∣
∣
x
x
2
y
z
y
y
2
z
x
z
z
2
x
y
∣
∣ ∣ ∣
∣
=
(
x
−
y
)
(
y
−
z
)
(
z
−
x
)
(
x
y
+
y
z
+
z
x
)
Q.
State true or false.
The g
iven equation
∣
∣ ∣ ∣
∣
y
z
−
x
2
z
x
−
y
2
x
y
−
z
2
z
x
−
y
2
x
y
−
z
2
y
z
−
x
2
x
y
−
z
2
y
z
−
x
2
z
x
−
y
2
∣
∣ ∣ ∣
∣
is divisible by
(
x
+
y
+
z
)
.
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