1.

product of three consecutive integers added by middle integer is always a perfect cube of middle integer​

Answer»

(X)×(x+1)×(x+2)+(x+1) = (x^2+x)×(x+2)+(x+1) = x^3+2x^2+x^2+2x+x+1 = x^3+3x^2+3x+1 = (x)^3+3(x)^2(1)+3(x)(1)^2+(1)^3 = (x+1)^3

hence PROVED!!

Thnak uh✌✨


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