Factorize-
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Answer:
The given equation is a
4
(b
2
−c
2
)+b
4
(c
2
−a
2
)+c
4
(a
2
−b
2
)
We can write the above equation as
a
4
(b
2
−c
2
)−b
4
(b
2
−c
2
+a
2
−b
2
)+c
4
(a
2
−b
2
)
=a
4
(b
2
−c
2
)−b
4
(b
2
−c
2
)−b
4
(a
2
−b
2
)+c
4
(a
2
−b
2
)
=(b
2
−c
2
)(a
4
−b
4
)−(a
2
−b
2
)(b
4
−c
4
)
=(b
2
−c
2
)(a
2
−b
2
)(a
2
+b
2
)−(a
2
−b
2
)(b
2
−c
2
)(b
2
+c
2
)
=(b
2
−c
2
)(a
2
−b
2
)(a
2
+b
2
−b
2
−c
2
)
=(b
2
−c
2
)(a
2
−b
2
)(a
2
−c
2
)
=−(b
2
−c
2
)(a
2
−b
2
)(c
2
−a
2
)
=−(b+c)(b−c)(a+b)(a−b)(c+a)(c−a)
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