Simplify (3x -1) (3x+1) (9x^2 + 1) (81x^2 + 1)

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Solution

question is wrog it should be given like this
Simplify (3x -1) (3x+1) (9x^2 + 1) (81x^4 + 1)

(a+b)*(a-b) = a^2-b^2

(3x -1) (3x+1) = (3x)^2 - (1)^2 = 9x^2 -1

(9x^2 - 1)(9x^2 + 1) = (9x^2)^2 - (1)^2 = 81x^4 - 1

(81x^4 - 1)(81x^4 + 1) = (81x^4)^2 - (1)^2
= 6561x^8 -1

(3x -1) (3x+1) (9x^2 + 1) (81x^4 + 1) = 6561x^8 -1

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