Question

(a-m)(b-m)(c-m)...................(x-m)(y-m)(z-m) =?

Answer 1

wat type of math??????

Answer 2

i suppose its multiplication !!!!!
just try it!!!!

Answer 3

i suposse u want us to substtue the letters with ##??

Answer 4

This is a cute problem.

Answer 5

no just go ahead !!!
i know the ans but i want you guys to try it

Answer 6

@jamesj : thnx

Answer 7

It's a generalization of this example shows that shows what's going on:

(x-m)(y-m)(z-m) =

xyz - m (xy + yz + xz) + m^2 (x + y + z) - m^3

So the first term is abcde...z

the second term, or coefficient of m is the sum of the product a to z, each time with a letter missing

the next term, the coefficient of m^2, is the sum of the product of a to z with two letters missing
etc.
Now just layer on sign changes each time.

Answer 8

but i want the final ans!!!

Answer 9

it's too long to write out explicitly.

Answer 10

Although .... as m - m = 0, the answer is zero!

Answer 11

but its tooooooooooooo short!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 12

@jamesj: u r correct!!!!!!!!!

Answer 13

so from the first 3 terms we get

(ab-am-bm+m2)(c-m)
abc-acm-bcm+cm2-abm+am2+bm2-m3
abc-m(ab+ac+bc)+m2(a+b+c)-m3

Answer 14

answer is zero

Answer 15

m-m = 0