Evaluate
\frac{2y+3}{y-1}
Expand
\frac{2y+3}{y-1}
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\frac{3y+2-\left(y-1\right)}{y-1}
Since \frac{3y+2}{y-1} and \frac{y-1}{y-1} have the same denominator, subtract them by subtracting their numerators.
\frac{3y+2-y+1}{y-1}
Do the multiplications in 3y+2-\left(y-1\right).
\frac{2y+3}{y-1}
Combine like terms in 3y+2-y+1.
\frac{3y+2-\left(y-1\right)}{y-1}
Since \frac{3y+2}{y-1} and \frac{y-1}{y-1} have the same denominator, subtract them by subtracting their numerators.
\frac{3y+2-y+1}{y-1}
Do the multiplications in 3y+2-\left(y-1\right).
\frac{2y+3}{y-1}
Combine like terms in 3y+2-y+1.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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