Simplify (25x^2)/(2(x+3))*2/(5x)

$\frac{25 x^{2}}{2 (x + 3)} \cdot \frac{2}{5 x}$

Step 1

Combine.

$\frac{25 x^{2} \cdot 2}{2 (x + 3) (5 x)}$

Step 2

Cancel the common factor of $25$ and $5$ .

Factor $5$ out of $25 x^{2} \cdot 2$ .

$\frac{5 (5 x^{2} \cdot 2)}{2 (x + 3) (5 x)}$

Cancel the common factors.

Factor $5$ out of $2 (x + 3) (5 x)$ .

$\frac{5 (5 x^{2} \cdot 2)}{5 (2 (x + 3) (x))}$

Cancel the common factor.

$\frac{5 (5 x^{2} \cdot 2)}{5 (2 (x + 3) (x))}$

Rewrite the expression.

$\frac{5 x^{2} \cdot 2}{2 (x + 3) (x)}$

$\frac{5 x^{2} \cdot 2}{2 (x + 3) (x)}$

$\frac{5 x^{2} \cdot 2}{2 (x + 3) (x)}$

Step 3

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

Factor $x$ out of $5 x^{2} \cdot 2$ .

$\frac{x (5 x \cdot 2)}{2 (x + 3) (x)}$

Cancel the common factors.

Factor $x$ out of $2 (x + 3) (x)$ .

$\frac{x (5 x \cdot 2)}{x (2 (x + 3))}$

Cancel the common factor.

$\frac{x (5 x \cdot 2)}{x (2 (x + 3))}$

Rewrite the expression.

$\frac{5 x \cdot 2}{2 (x + 3)}$

$\frac{5 x \cdot 2}{2 (x + 3)}$

$\frac{5 x \cdot 2}{2 (x + 3)}$

Step 4

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{5 x \cdot 2}{2 (x + 3)}$

Rewrite the expression.

$\frac{5 x}{x + 3}$

$\frac{5 x}{x + 3}$

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