Question

k/k+1+1/(k+1)(k+2)=​

Answer 1

Answer:

Step-by-step explanation:

k / (k + 1) + 1 / (k + 1)(k + 2) =

= k(k + 2) / (k + 1)(k + 2) +

+ 1 / (k + 1)(k + 2)

= (k^2 + 2k + 1) / (k + 1)(k + 2)

= (k + 1)^2 / (k + 1)(k + 2)

= (k + 1) / (k + 2)

Answer 2

Answer:

k+1/(k+2)

Step-by-step explanation:

[k/(k+1)]+1/(k+1)(k+2)

cross multiplying:

(k(k+2)+1)/(k+1)(k+2)

=k²+2k+1/(k+1)(k+2)

=(k+1)(k+1)/(k+1)(k+2)

k+1 get cancelled..then,

=k+1/k+2.

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