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Question
Find the following product:
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Solution
Given `(1-x)(1 + x + x^2)`
We shall use the identity `(a-b)(a^2+ ab + b^2) = a^3 - b^3`
We can rearrange the `(1 - x) (1+ x + x^2)`as
` = (1- x) [(1)^2 + (1)(x)+ (x)^2]`
` = (1)^3 - (x)^3`
` = (1) xx (1) xx (1) - (x) xx (x) xx (x)`
` = 1=x^3`
Hence the Product value of `(1-x)(1+x + x^2)`is `1-x^3`.
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