Combine 1/(y-2)+1/y

Math
1y-2+1y
To write 1y-2 as a fraction with a common denominator, multiply by yy.
1y-2⋅yy+1y
To write 1y as a fraction with a common denominator, multiply by y-2y-2.
1y-2⋅yy+1y⋅y-2y-2
Write each expression with a common denominator of (y-2)y, by multiplying each by an appropriate factor of 1.
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Multiply 1y-2 and yy.
y(y-2)y+1y⋅y-2y-2
Multiply 1y and y-2y-2.
y(y-2)y+y-2y(y-2)
Reorder the factors of (y-2)y.
yy(y-2)+y-2y(y-2)
yy(y-2)+y-2y(y-2)
Combine the numerators over the common denominator.
y+y-2y(y-2)
Simplify the numerator.
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Add y and y.
2y-2y(y-2)
Factor 2 out of 2y-2.
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Factor 2 out of 2y.
2(y)-2y(y-2)
Factor 2 out of -2.
2(y)+2(-1)y(y-2)
Factor 2 out of 2(y)+2(-1).
2(y-1)y(y-2)
2(y-1)y(y-2)
2(y-1)y(y-2)
Combine 1/(y-2)+1/y

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