Factorise:- 1-x³

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Solution

1-x³
Rewrite 1as 1³.
i.e. 1³-x³
Since both terms are perfect cubes, factor using the difference of cubes formula,
a³−b³=(a−b)(a²+ab+b²)
where a=1 and b=x.
Gives
1³-x³=(1-x)(1²+1×x+x²)
=(1-x)(1+x+x²)

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