factorise x3-3x2+3x-1
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Step-by-step explanation:
factorise x^3+3x^2+3x+1
=x^3+x^2+2x^2+x+2x+1
=x^3+x^2+2x^2+x+2x+1 =x^2(x+1)+2x(x+1)+1(x+1)
=x^3+x^2+2x^2+x+2x+1 =x^2(x+1)+2x(x+1)+1(x+1) =(x+1)(x^2+2x+1)
(x+1)(x^2+2x+1) =(x+1){(x+1)(x+1)}
(x+1){(x+1)(x+1)} = (x+1)^3
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