Find the product of three consecutive even integers ,if one of them is 2m.
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let 1st consecutive even integer is 2m
2nd consecutive even integer is 2m +2
3rd consecutive even unteger is 2m+4
product=2m(2m+2)(2m+4)
(4m^2 +4m) (2m+4)
8m^3 +8m^2+8m^2+16m
8m^3+16m^2+16m
8m(1+2m+2)
8m(3+2m)
hence this is the product of even consecutive integer
2nd consecutive even integer is 2m +2
3rd consecutive even unteger is 2m+4
product=2m(2m+2)(2m+4)
(4m^2 +4m) (2m+4)
8m^3 +8m^2+8m^2+16m
8m^3+16m^2+16m
8m(1+2m+2)
8m(3+2m)
hence this is the product of even consecutive integer
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