Simplify (x+3)/(4x)(3x-18)/(6x+18)(x^2)/(4x+12)

$\frac{x + 3}{4 x} \cdot \frac{3 x - 18}{6 x + 18} \cdot \frac{x^{2}}{4 x + 12}$

Factor $4$ out of $4 x + 12$ .

Factor $4$ out of $4 x$ .

$\frac{x + 3}{4 x} \cdot \frac{3 x - 18}{6 x + 18} \cdot \frac{x^{2}}{4 (x) + 12}$

Factor $4$ out of $12$ .

$\frac{x + 3}{4 x} \cdot \frac{3 x - 18}{6 x + 18} \cdot \frac{x^{2}}{4 x + 4 \cdot 3}$

Factor $4$ out of $4 x + 4 \cdot 3$ .

$\frac{x + 3}{4 x} \cdot \frac{3 x - 18}{6 x + 18} \cdot \frac{x^{2}}{4 (x + 3)}$

Factor $3$ out of $3 x - 18$ .

Factor $3$ out of $3 x$ .

$\frac{x + 3}{4 x} \cdot \frac{3 (x) - 18}{6 x + 18} \cdot \frac{x^{2}}{4 (x + 3)}$

Factor $3$ out of $- 18$ .

$\frac{x + 3}{4 x} \cdot \frac{3 x + 3 \cdot - 6}{6 x + 18} \cdot \frac{x^{2}}{4 (x + 3)}$

Factor $3$ out of $3 x + 3 \cdot - 6$ .

$\frac{x + 3}{4 x} \cdot \frac{3 (x - 6)}{6 x + 18} \cdot \frac{x^{2}}{4 (x + 3)}$

Factor $6$ out of $6 x + 18$ .

Factor $6$ out of $6 x$ .

$\frac{x + 3}{4 x} \cdot \frac{3 (x - 6)}{6 (x) + 18} \cdot \frac{x^{2}}{4 (x + 3)}$

Factor $6$ out of $18$ .

$\frac{x + 3}{4 x} \cdot \frac{3 (x - 6)}{6 x + 6 \cdot 3} \cdot \frac{x^{2}}{4 (x + 3)}$

Factor $6$ out of $6 x + 6 \cdot 3$ .

$\frac{x + 3}{4 x} \cdot \frac{3 (x - 6)}{6 (x + 3)} \cdot \frac{x^{2}}{4 (x + 3)}$

Cancel the common factor of $x + 3$ .

Factor $x + 3$ out of $6 (x + 3)$ .

$\frac{x + 3}{4 x} \cdot \frac{3 (x - 6)}{(x + 3) \cdot 6} \cdot \frac{x^{2}}{4 (x + 3)}$

Cancel the common factor.

$\frac{x + 3}{4 x} \cdot \frac{3 (x - 6)}{(x + 3) \cdot 6} \cdot \frac{x^{2}}{4 (x + 3)}$

Rewrite the expression.

$\frac{1}{4 x} \cdot \frac{3 (x - 6)}{6} \cdot \frac{x^{2}}{4 (x + 3)}$

Multiply $\frac{1}{4 x}$ by $\frac{3 (x - 6)}{6}$ .

$\frac{3 (x - 6)}{4 x \cdot 6} \cdot \frac{x^{2}}{4 (x + 3)}$

Multiply $6$ by $4$ .

$\frac{3 (x - 6)}{24 x} \cdot \frac{x^{2}}{4 (x + 3)}$

Combine.

$\frac{3 (x - 6) x^{2}}{24 x (4 (x + 3))}$

Cancel the common factor of $3$ and $24$ .

Factor $3$ out of $3 (x - 6) x^{2}$ .

$\frac{3 ((x - 6) x^{2})}{24 x (4 (x + 3))}$

Cancel the common factors.

Factor $3$ out of $24 x (4 (x + 3))$ .

$\frac{3 ((x - 6) x^{2})}{3 (8 x (4 (x + 3)))}$

Cancel the common factor.

$\frac{3 ((x - 6) x^{2})}{3 (8 x (4 (x + 3)))}$

Rewrite the expression.

$\frac{(x - 6) x^{2}}{8 x (4 (x + 3))}$

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

Factor $x$ out of $(x - 6) x^{2}$ .

$\frac{x ((x - 6) x)}{8 x (4 (x + 3))}$

Cancel the common factors.

Factor $x$ out of $8 x (4 (x + 3))$ .

$\frac{x ((x - 6) x)}{x (8 (4 (x + 3)))}$

Cancel the common factor.

$\frac{x ((x - 6) x)}{x (8 (4 (x + 3)))}$

Rewrite the expression.

$\frac{(x - 6) x}{8 (4 (x + 3))}$

Simplify the expression.

Multiply $8$ by $4$ .

$\frac{(x - 6) x}{32 (x + 3)}$

Reorder factors in $\frac{(x - 6) x}{32 (x + 3)}$ .

$\frac{x (x - 6)}{32 (x + 3)}$

Simplify (x+3)/(4x)*(3x-18)/(6x+18)*(x^2)/(4x+12)

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Simplify (x+3)/(4x)(3x-18)/(6x+18)(x^2)/(4x+12)