Questions: Divide. (8 x^2 y+5 x y-9 x)/(x y)

Transcript text: Divide. \[ \frac{8 x^{2} y+5 x y-9 x}{x y} \]

Solution

Solution Steps

To divide the given polynomial by \(xy\), we need to distribute the division across each term in the numerator. This means we will divide each term in the numerator by \(xy\).

Step 1: Divide Each Term

We start with the expression \[ \frac{8x^2y + 5xy - 9x}{xy}. \] To simplify, we divide each term in the numerator by \(xy\).

Step 2: Simplify Each Term

Dividing each term gives us: \[ \frac{8x^2y}{xy} + \frac{5xy}{xy} - \frac{9x}{xy}. \] This simplifies to: \[ 8x + 5 - \frac{9}{y}. \]

Final Answer

Thus, the simplified expression is \[ \boxed{8x + 5 - \frac{9}{y}}. \]

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