Simplify ((3xy)^2)/(x^2)

$\frac{{(3 x y)}^{2}}{x^{2}}$

Step 1

Simplify the numerator.

Apply the product rule to $3 x y$ .

$\frac{{(3 x)}^{2} y^{2}}{x^{2}}$

Apply the product rule to $3 x$ .

$\frac{3^{2} x^{2} y^{2}}{x^{2}}$

Raise $3$ to the power of $2$ .

$\frac{9 x^{2} y^{2}}{x^{2}}$

$\frac{9 x^{2} y^{2}}{x^{2}}$

Step 2

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

$\frac{9 x^{2} y^{2}}{x^{2}}$

Divide $9 y^{2}$ by $1$ .

$9 y^{2}$

$9 y^{2}$

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