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Question
The product (x2−1) (x4 + x2 + 1) is equal to
Options
x8 − 1
x8 + 1
x6 − 1
x6 + 1
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Solution
We have to find the product of `(x^2 - 1)(x^4 +x^2 +1)`
Using identity `(a^3 -b ^3) = (a-b)(a^2 +ab + b^2)`
Here `a=x^2 , b = 1`
`(x^2)^3 - (1)^3 = (x^2 - 1)[(x^2)^2 + x^2 xx 1 +1^2]`
`x^6 - 1 = (x^2-1)(x^4 + x^2 + 1)`
Hence the product value of `(x^2 - 1)(x^4 +x^2 +1)` is `x^6 - 1`.
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