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Re: If x=6m^2+4n^2, and gcd [#permalink]
Viha wrote:
Why did we write it as 2x and 2y?

Posted from my mobile device


2 is gcd of m and n .
that means 2 is a factor of m and n.
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If x=6m^2+4n^2, and gcd [#permalink]
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Viha wrote:
Why did we write it as 2x and 2y?

Posted from my mobile device


For example:
m = 6 = (2)(3)
Now, n has to be a number which is not a multiple of 3, otherwise the GCD will change

Say, n = 12 = (2)(3)(2)
GCD is 6

Since the Greatest Common Factor is 2
We can write m and n as 2x and 2y where x and y are different numbers with no common factor.
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