find the value of ( a+1)(a-1)(a power2 +1)
Answers
Answered by
0
Answer:
the value of (a - 1/a)^2 = 4.
Explanation:
Given:x=
2
+1
= \ \textgreater \ \frac{1}{a} = \frac{1}{ \sqrt{2} + 1 } * \frac{ \sqrt{2} - 1 }{ \sqrt{2} - 1 }= \textgreater
a
1
=
2
+1
1
∗
2
−1
2
−1
= \ \textgreater \ \frac{ \sqrt{2} - 1 }{(2)^2 - ( \sqrt{1} )^2}= \textgreater
(2)
2
−(
1
)
2
2
−1
= \ \textgreater \ \sqrt{2} - 1= \textgreater
2
−1
Now,
= \ \textgreater \ a - \frac{1}{a} = \sqrt{2} + 1 - ( \sqrt{2} - 1)= \textgreater a−
a
1
=
2
+1−(
2
−1)
= \ \textgreater \ 2= \textgreater 2
Hence:
= > (a - 1/a)^2 = (2)^2
= 4.
Therefore the value of (a - 1/a)^2 = 4.
Hope this helps!
Answered by
12
answer:
a^4-1 is the right answer
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