Simplify (xy^2)/2*(6x)/(y^2)

$\frac{x y^{2}}{2} \cdot \frac{6 x}{y^{2}}$

Step 1

Combine.

$\frac{x y^{2} (6 x)}{2 y^{2}}$

Step 2

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$\frac{x \cdot x y^{2} \cdot 6}{2 y^{2}}$

Multiply $x$ by $x$ .

$\frac{x^{2} y^{2} \cdot 6}{2 y^{2}}$

$\frac{x^{2} y^{2} \cdot 6}{2 y^{2}}$

Step 3

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

Cancel the common factor.

$\frac{x^{2} y^{2} \cdot 6}{2 y^{2}}$

Rewrite the expression.

$\frac{x^{2} \cdot 6}{2}$

$\frac{x^{2} \cdot 6}{2}$

Step 4

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $x^{2} \cdot 6$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (x^{2} \cdot 3)}{2 (1)}$

Cancel the common factor.

$\frac{2 (x^{2} \cdot 3)}{2 \cdot 1}$

Rewrite the expression.

$\frac{x^{2} \cdot 3}{1}$

Divide $x^{2} \cdot 3$ by $1$ .

$x^{2} \cdot 3$

$x^{2} \cdot 3$

$x^{2} \cdot 3$

Step 5

Move $3$ to the left of $x^{2}$ .

$3 x^{2}$

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