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Question
Find the following product:
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Solution
Given (1 + x) (1 − x + x2)
We shall use the identity `(a+b)(a^2 - ab +b^2) = a^3 + b^3`
We can rearrange the (1 + x) (1 − x + x2)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^2`
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