Show that : (x^a^2+b^2/x^ab)^a+b*(x^b^2+c^2/x^bc)^b+c*(x^c^2+a^2/x^ac)^a+c=x^2(a^3+b^3+c^3)
plz give correct answer ❤️
Answers
Answer:
Given,
(
x
b
x
a
)
a
2
+ab+b
2
×(
x
c
x
b
)
b
2
+bc+c
2
×(
x
a
x
c
)
c
2
+ca+a
2
=(x
a−b
)
a
2
+ab+b
2
×(x
b−c
)
b
2
+bc+c
2
×(x
c−a
)
c
2
+ca+a
2
=x
a
3
+a
2
b+ab
2
−a
2
b−ab
2
−b
3
×x
b
3
+b
2
c+bc
2
−cb
2
−bc
2
−c
3
×x
c
3
+c
2
a+ca
2
−c
2
a−ca
2
−a
3
=x
a
3
−b
3
×x
b
3
−c
3
×x
c
3
−a
3
=x
a
3
−b
3
+b
3
−c
3
+c
3
−a
3
=x
0
=1 [henceproved]
Step-by-step explanation:
Given,
(
x
b
x
a
)
a
2
+ab+b
2
×(
x
c
x
b
)
b
2
+bc+c
2
×(
x
a
x
c
)
c
2
+ca+a
2
=(x
a−b
)
a
2
+ab+b
2
×(x
b−c
)
b
2
+bc+c
2
×(x
c−a
)
c
2
+ca+a
2
=x
a
3
+a
2
b+ab
2
−a
2
b−ab
2
−b
3
×x
b
3
+b
2
c+bc
2
−cb
2
−bc
2
−c
3
×x
c
3
+c
2
a+ca
2
−c
2
a−ca
2
−a
3
=x
a
3
−b
3
×x
b
3
−c
3
×x
c
3
−a
3
=x
a
3
−b
3
+b
3
−c
3
+c
3
−a
3
=x
0
=1 [henceproved]