This is the question:
Let a,b,c be intergers, where a does not equal 0.
If a doesn't divide into b*c with no remainder, then a doesn't divide into b with no remainder and a doesn't divide into c with no remainder.
I used the contrapositive.
Proving that, i said:
Suppose a divides into b and a divides into c.
Thus ax=b and ay=c for intergers x and y.
Thus b*c=(ax)(ay)
b*c=a^2xy
Therefore, a divides into b*c
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If i missed something or if someone can see i got something wrong, please let me know and show me what i should have done, thanks.
2006-10-16
18:13:28
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2 answers
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asked by
J M
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