What is simplify-1/((y(y-1)))+((y^2))/((y-1)) ?

The solution to simplify-1/((y(y-1)))+((y^2))/((y-1)) is (y^2+y+1)/y

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

simplify

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

\frac{y ^{2} + y + 1}{y}

Solution steps

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

Least Common Multiplier of

y (y - 1), y - 1 : y (y - 1)

Adjust Fractions based on the LCM

= - \frac{1}{y ( y - 1 )} + \frac{y ^{3}}{y ( y - 1 )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{- 1 + y ^{3}}{y ( y - 1 )}

Cancel

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

= \frac{y ^{2} + y + 1}{y}

\frac{2 x ^{4} y ^{5}}{x ^{2} y ^{3}}

((\frac{7 x}{8}) + (\frac{3 y}{4}))^{2}

\frac{4 o ^{'} 0}{9}

tan^{2} (t) - 16 cos^{2} (t)

(\frac{x}{( x - 1 )})^{2} - 3 (\frac{x}{( x - 1 )}) - 18

What is simplify-1/((y(y-1)))+((y^2))/((y-1)) ?
The solution to simplify-1/((y(y-1)))+((y^2))/((y-1)) is (y^2+y+1)/y