factorize using suitable identities x^3+3x^2+3x+1
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Answer:
(x+1)^3
Step-by-step explanation:
x^3+3x^2+3x+1=x^3+1+3x^2+3x=
(x+1)(x^2-x+1)+3x(x+1)=(x+1)(x^2-x+3x+1)=
(x+1)(x^2+2x+1)=(x+1)(x+1)^2=(x+1)^3
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