What is (k+1)/(2k)+(1-1/((k+1)^2)) ?

The solution to (k+1)/(2k)+(1-1/((k+1)^2)) is (k^3+3k^2+k+1)/(2k(k+1)^2)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (k+1)/(2k)+(1-1/((k+1)^2))

simplify

\frac{k + 1}{2 k} + (1 - \frac{1}{( k + 1 ) ^{2}})

\frac{k ^{3} + 3 k ^{2} + k + 1}{2 k ( k + 1 ) ^{2}} + 1

Solution steps

\frac{k + 1}{2 k} + (1 - \frac{1}{( k + 1 ) ^{2}})

Remove parentheses:

(a) = a

= \frac{k + 1}{2 k} + 1 - \frac{1}{( k + 1 ) ^{2}}

Combine the fractions

\frac{k + 1}{2 k} - \frac{1}{( k + 1 ) ^{2}} : \frac{k ^{3} + 3 k ^{2} + k + 1}{2 k ( k + 1 ) ^{2}}

= \frac{k ^{3} + 3 k ^{2} + k + 1}{2 k ( k + 1 ) ^{2}} + 1

\frac{18}{5} - 3

3 (- 1) - 1

x^{2} - 6 x - 11 = 0

12 ab + a + 12 b + 1

(3^{\frac{2}{5}})^{\frac{1}{2}}

What is (k+1)/(2k)+(1-1/((k+1)^2)) ?
The solution to (k+1)/(2k)+(1-1/((k+1)^2)) is (k^3+3k^2+k+1)/(2k(k+1)^2)+1