What is expand 1/(s(s-1))+(2s+1) ?

The solution to expand 1/(s(s-1))+(2s+1) is 1/(s^2-s)+2s+1

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expand 1/(s(s-1))+(2s+1)

expand

\frac{1}{s ( s - 1 )} + (2 s + 1)

\frac{1}{s ^{2} - s} + 2 s + 1

Solution steps

\frac{1}{s ( s - 1 )} + (2 s + 1)

Remove parentheses:

(a) = a

= \frac{1}{s ( s - 1 )} + 2 s + 1

Expand

s (s - 1) : s^{2} - s

= \frac{1}{s ^{2} - s} + 2 s + 1

\frac{k ( k + 1 ) ^{3} ( 2 k + 1 )}{6}

\frac{2 x ^{2} - 4 x - 16}{3 ( x + 3 )}

\frac{5 ( 5 + 809 )}{49}

\frac{9 ( 27 + 753 )}{2}

\frac{4 ( y - x )}{5}

What is expand 1/(s(s-1))+(2s+1) ?
The solution to expand 1/(s(s-1))+(2s+1) is 1/(s^2-s)+2s+1