Question

log(a^3+b^3)-log(a+b)-log(a^2-ab+b^2)=​

Answer 1

Answer:

$log( {a}^{3} + {b}^{3} ) - log(a + b) - log( {a}^{2} - ab + {b}^{2} ) =$

$log( \frac{ {a}^{3} + {b}^{3} }{(a + b)( {a}^{2} - ab + {b}^{2} )} ) = log( \frac{ {a}^{3} + {b}^{3} }{ {a}^{3} + {b}^{3} } )$

$= log(1) = 0 \: \: \: ans.$