Question

Пожалуйста  упростите выражение 

Answer 1

$frac{(a+b)^{3}-(a-b) ^{3} }{2b(3a ^{2} +b ^{2} )} +1= frac{a ^{3} +3a^{2} b+3ab^{2} +b^{3} -(a ^{3} -3a^{2} b+3ab ^{2} -b ^{3} )}{6a^{2} b+2b ^{3} } +1= \ =frac{a ^{3} +3a^{2} b+3ab^{2} +b^{3} -a ^{3} +3a^{2} b-3ab ^{2} +b ^{3} }{6a^{2} b+2b ^{3} } +1 = frac{6a^{2} b+2b ^{3}}{6a^{2} b+2b ^{3}} +1=1+1=2$