Not related but aspirators is not the word you are looking for. Since I have some link to the medical field, I am familiar with http://en.wikipedia.org/wiki/Aspirator
Should be aspirants
If 4x-y is divisible by 3, prove that 4x2+7xy-2y2 is divisible by 9.
Not related but aspirators is not the word you are looking for. Since I have some link to the medical field, I am familiar with http://en.wikipedia.org/wiki/Aspirator
Should be aspirants
4x-y=3m
y=4x-3m
put y=4x-3m in 4x2+7xy-2y2
u will get 4x2+7xy-2y2 as 9m(3x-2m)
hence divisible by 9
4x2+7xy-2y2=(4x-y)(x+2y)
So we only need to prove that x+2y = (4x-y)-3(x-y) is divisible by 3 which is obvious.