Simplify (x-1)(x+1)(x²+1) (x⁴+1).
Answers
Answered by
1
Answer:
x−1)(x+1)(x
2
+1)(x
4
+1)
(x
2
+x−x−1)(x
6
+x
2
+x
4
+1)
(x
2
−1)(x
6
+x
2
+x
4
)
x
8
+x
4
+x
6
−x
6
−x
2
−x
4
x
6
Answered by
4
Answer:
By using identity, (a+b)(a-b) = a²-b²
(x-1) (x+1) = (x²-1)
(x-1) (x+1) (x²+1) = (x²-1) (x²+1) = (x⁴-1)
(x-1) (x+1) (x²+1) (x⁴+1) = (x²-1) (x²+1) (x⁴+1)= (x⁴-1) (x⁴+1)
=> x⁸-1
so answer is (x⁸-1)
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