Question

CMR:

a) 1/a(a+1)=a/1-1/a+1

b)2/a(a+1)(a+2)=1/a(a+1)-1/(a+1)(a+2)

 

Answer 1

a, đề phải là 1/a.(a+1) = 1/a - 1/a+1 chứ bạn !

Có : 1/a.(a+1) = (a+1)-a/a.(a+1) = a+1/a.(a+1) - a/a.(a+1) = 1/a - 1/a+1

=> 1/a.(a+1) = 1/a - 1/a+1

b, Có : 2/a.(a+1).(a+2) = (a+2)-a/a.(a+1).(a+2) = a+2/a.(a+1).(a+2) - a/a.(a+1).(a+2) = 1/a.(a+1) - 1/(a+1).(a+2)

=> 2/a.(a+1).(a+2) = 1/a.(a+1) - 1/(a+1).(a+2)

Tk mk nha

Answer 2

a, \(VP=\frac{1}{a}-\frac{1}{a+1}=\frac{a+1}{a\left(a+1\right)}-\frac{a}{a\left(a+1\right)}==\frac{a+1-a}{a\left(a+1\right)}=\frac{1}{a\left(a+1\right)}=VT\)

b, \(VP=\frac{1}{a\left(a+1\right)}-\frac{1}{\left(a+1\right)\left(a+2\right)}=\frac{a+2}{a\left(a+1\right)\left(a+2\right)}-\frac{a}{a\left(a+1\right)\left(a+2\right)}=\frac{a+2-a}{a\left(a+1\right)\left(a+2\right)}=\frac{2}{a\left(a+1\right)\left(a+2\right)}=VT\)