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Question

# Multiply $\frac{y^2+6 y+5}{y^2} \cdot \frac{y}{y+1}$.A $\frac{y+5}{y^2}$B $\frac{y+5}{y}$C $\frac{(y+1)(y+5)}{y^2}$D y(y + 5)

Solution

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Solve the given equation to find the correct answer by factoring it then cancelling the common factors and simplify

\begin{aligned} \dfrac{y^2+6y+5}{y^2}\cdot\dfrac{y}{y+1}&=\dfrac{(y+5)(y+1)}{y\cdot y}\cdot\dfrac{y}{y+1}\\ &=\dfrac{(y+5)\cancel{(y+1)}}{y\cdot \cancel{y}}\cdot\dfrac{\cancel{y}}{\cancel{(y+1)}}\\ &=\dfrac{(y+5)}{y}\\ \end{aligned}

Choice $B$ is the correct answer

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