Simplify (6x^3+48x^2)/(3x^3)

$\frac{6 x^{3} + 48 x^{2}}{3 x^{3}}$

Step 1

Factor $6 x^{2}$ out of $6 x^{3} + 48 x^{2}$ .

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

$\frac{6 x^{2} (x) + 48 x^{2}}{3 x^{3}}$

Factor $6 x^{2}$ out of $48 x^{2}$ .

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

Factor $6 x^{2}$ out of $6 x^{2} (x) + 6 x^{2} (8)$ .

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

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

Step 2

Cancel the common factor of $6$ and $3$ .

Factor $3$ out of $6 x^{2} (x + 8)$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

Factor $x^{2}$ out of $2 x^{2} (x + 8)$ .

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

Cancel the common factors.

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

$\frac{x^{2} (2 (x + 8))}{x^{2} x}$

Cancel the common factor.

$\frac{x^{2} (2 (x + 8))}{x^{2} x}$

Rewrite the expression.

$\frac{2 (x + 8)}{x}$

$\frac{2 (x + 8)}{x}$

$\frac{2 (x + 8)}{x}$

Related Questions