Simplify (21x^3+189x^2)/(7x^3)

$\frac{21 x^{3} + 189 x^{2}}{7 x^{3}}$

Step 1

Factor $21 x^{2}$ out of $21 x^{3} + 189 x^{2}$ .

Factor $21 x^{2}$ out of $21 x^{3}$ .

$\frac{21 x^{2} (x) + 189 x^{2}}{7 x^{3}}$

Factor $21 x^{2}$ out of $189 x^{2}$ .

$\frac{21 x^{2} (x) + 21 x^{2} (9)}{7 x^{3}}$

Factor $21 x^{2}$ out of $21 x^{2} (x) + 21 x^{2} (9)$ .

$\frac{21 x^{2} (x + 9)}{7 x^{3}}$

$\frac{21 x^{2} (x + 9)}{7 x^{3}}$

Step 2

Cancel the common factor of $21$ and $7$ .

Factor $7$ out of $21 x^{2} (x + 9)$ .

$\frac{7 (3 x^{2} (x + 9))}{7 x^{3}}$

Cancel the common factors.

Factor $7$ out of $7 x^{3}$ .

$\frac{7 (3 x^{2} (x + 9))}{7 (x^{3})}$

Cancel the common factor.

$\frac{7 (3 x^{2} (x + 9))}{7 x^{3}}$

Rewrite the expression.

$\frac{3 x^{2} (x + 9)}{x^{3}}$

$\frac{3 x^{2} (x + 9)}{x^{3}}$

$\frac{3 x^{2} (x + 9)}{x^{3}}$

Step 3

Cancel the common factor of $x^{2}$ and $x^{3}$ .

Factor $x^{2}$ out of $3 x^{2} (x + 9)$ .

$\frac{x^{2} (3 (x + 9))}{x^{3}}$

Cancel the common factors.

Factor $x^{2}$ out of $x^{3}$ .

$\frac{x^{2} (3 (x + 9))}{x^{2} x}$

Cancel the common factor.

$\frac{x^{2} (3 (x + 9))}{x^{2} x}$

Rewrite the expression.

$\frac{3 (x + 9)}{x}$

$\frac{3 (x + 9)}{x}$

$\frac{3 (x + 9)}{x}$

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