Question

divide.
\frac{10y^2 + 15y - 25}{5y}

Explanation:

Step1: Split the fraction

Split the numerator into three separate fractions: $\frac{10y^2}{5y} + \frac{15y}{5y} - \frac{25}{5y}$

Step2: Simplify each fraction

• For $\frac{10y^2}{5y}$: Divide coefficients and subtract exponents of like bases. $10\div5 = 2$, $y^2\div y = y$, so it becomes $2y$.
• For $\frac{15y}{5y}$: Divide coefficients and subtract exponents of like bases. $15\div5 = 3$, $y\div y = 1$, so it becomes $3$.
• For $\frac{25}{5y}$: Simplify the coefficient first. $25\div5 = 5$, so it becomes $\frac{5}{y}$.

Combine the simplified terms: $2y + 3 - \frac{5}{y}$

Answer:

$2y + 3 - \frac{5}{y}$