please solve this questions with step by step
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Your Question:
(a+1) (a-1) (a²+1) = ?
(a) a⁴ - 2a² - 1
(b) a⁴ - a² - 1
(c) a⁴ - 1
(d) a⁴ + 1
Answer:
(c) a⁴ - 1 is your correct answer.....
Step by step solution:
(a+1) (a-1) (a²+1)
[a(a-1)+1(a-1)] (a²+1)
(a² - a + a - 1) (a²+1)
(a² - 1) (a²+1)
( a²) ² - (1) ² _______[1]
[ since, (a+b) (a-b) = (a) ²- (b²) ]
.......from [1]
a⁴-1
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