Factorize the algebric expression (a^6+b^6)
Answers
Answered by
1
Answer:
a
6
−b
6
=(a
2
)
3
−(b
2
)
3
Using,
(a
3
−b
3
)=(a−b)(a
2
+ab+b
2
)
=(a
2
−b
2
)[(a
2
)
2
+a
2
b
2
+(b
2
)
2
]
=(a+b)(a−b)[(a
2
)
2
+2a
2
b
2
+(b
2
)
2
−a
2
b
2
]
=(a+b)(a−b)[(a
2
+b
2
)
2
−a
2
b
2
]
=(a+b)(a−b)[(a
2
+b
2
+ab)(a
2
+b
2
−ab)]
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