1.

Factorise:x^3-3x^2+x-3​

Answer»

Factoring:  x3-3x2+x-3 

Thoughtfully SPLIT the expression at hand into groups, each group having two TERMS :

Group 1:  x-3 

Group 2:  x3-3x2 

Pull out from each group SEPARATELY :

Group 1:   (x-3) • (1)

Group 2:   (x-3) • (x2)

               -------------------

ADD up the two groups :

               (x-3)  •  (x2+1) 

Which is the desired factorization

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