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I know how to find the conjugate for 2 variable expressions, but I am right now trying to find the conjugate of a 3 variable expression (I'm talking about radical expressions, by the way).

 

I tried expanding (a+b+c)(abc) and hoped to find something along the format of a2±b2±c2, but I didn't get that expression. 

 

Every time I multiply something along the lines of (a+b+c)(ab+c),(a+b+c)(a+b+c),(a+b+c)(a+bc), I always get a 2ab,2ac or 2bc. I'm still stuck on this.

 

Also, can the website impliment a LaTeX using the same text as the question/answer? Thanks.

 Jan 6, 2024
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I finally managed to solve it!!

(Thanks to my dad)

 

The question I was answering was:

 

(5+32)(3ab+2c)=12

 

Find the ordered pair (a,b,c).

 

I am planning on putting the solution on another post, though.

 

However, the clue is that 5=3+2, which makes this possible.

 

 

I wil post the solution on this question If I can't post it on the other post.

 Jan 6, 2024

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