What is expand 2/y+1/(y-5) ?

The solution to expand 2/y+1/(y-5) is (3y-10)/(y^2-5y)

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expand 2/y+1/(y-5)

expand

\frac{2}{y} + \frac{1}{y - 5}

\frac{3 y - 10}{y ^{2} - 5 y}

Solution steps

\frac{2}{y} + \frac{1}{y - 5}

Least Common Multiplier of

y, y - 5 : y (y - 5)

Adjust Fractions based on the LCM

= \frac{2 ( y - 5 )}{y ( y - 5 )} + \frac{y}{y ( y - 5 )}

Since the denominators are equal, combine the fractions:

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

= \frac{2 ( y - 5 ) + y}{y ( y - 5 )}

Expand

y (y - 5) : y^{2} - 5 y

= \frac{2 ( y - 5 ) + y}{y ^{2} - 5 y}

Expand

2 (y - 5) + y : 3 y - 10

= \frac{3 y - 10}{y ^{2} - 5 y}

A (- 6, - 1) y B (4, - 3)

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(- 3 - 2 i)^{5}

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What is expand 2/y+1/(y-5) ?
The solution to expand 2/y+1/(y-5) is (3y-10)/(y^2-5y)