Is This Equality Really True? Let's Find Out!

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The discussion centers on evaluating the mathematical expression \(\frac{m^2g^2-m^2}{ma+za}-\frac{zamg}{am+az+gm+gz}=-\frac{zma^2-z^2a^2}{ma-mg}\). Participants express skepticism about its validity, suggesting that testing with specific values reveals inconsistencies. Initial attempts to prove the equality lead to the conclusion that it is not true. The conversation emphasizes the importance of verifying mathematical claims through substitution. Ultimately, the consensus is that the expression does not hold true.
joex444
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How could I show that this is true:
\frac{m^2g^2-m^2}{ma+za}-\frac{zamg}{am+az+gm+gz}=-\frac{zma^2-z^2a^2}{ma-mg}
 
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What have you tried?
 
Where does that expression come from? It doesn't look true to me. (Plug in a few values and see for yourself.)
 
yeah, it's not true...well, that makes it easy to show it's not true.
 
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