Question

докажите тождество:​

Answer 1

Ответ:

Объяснение:

1. 1/(x*(x+1))+1/((x+1)*(x+2))=(x+2+x)/((x*(x+1)*(x+2))=

=(2x+2)/((x*(x+1)*(x+2))=2*(x+1)/((x*(x+1)*(x+2))=2/(x*(x+2)).

2. 2/(x*(x+2))+1/((x+2)*(x+3))=(2*(x+3)+x)/(x*(x+2)*(x+3))=

=(2x+6+x)//(x*(x+2)*(x+3))=(3x+6)//(x*(x+2)*(x+3))=

=3*(x+2)//(x*(x+2)*(x+3))≡3/(x*(x+3)).