Question

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

Answer 1

Answer:

Step-by-step explanation:

Answer 2

(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