Factorize: y^3 - 1  

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justaguide | College Teacher | (Level 2) Distinguished Educator

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To factorize `y^3 - 1` use the relation `a^3 - b^3 = (a - b)*(a^2 + ab + b^2)`

Substitute a^3 with y^3 and b^3 with 1 = 1^3. This gives:

y^3 - 1

= y^3 - 1^3

= (y - 1)(y^2 + y + 1)

The factorized form of y^3 - 1 is (y - 1)(y^2 + y + 1)