Question

СРОЧНО ДОКАЖИТЕ ТОЖДЕСТВО

Answer 1

1. m/(m²-16m+64)=m/(m²-2*8*m+8²)=m/(m-8)².
2. (m+4)/(m²-64)=(m+4)/((m-8)(m+8)).
3. (m/(m-8)²-(m+4)/((m-8)(m+8))=(m*(m+8)-(m+4)(m-8))/((m-8)²*(m+8))=
=(m²+8m-m²+4m+32)/((m-8)(m-8)(m+8))=(12m+32)/((m-8)(m-8)(m+8))=
=4*(3m+8)/((m-8)(m²-64)).
4. (4*(3m+8)/((m-8)(m²-64)):((3m+8)/(m²-64))≡4/(m-8).