Algebra Examples

Simplify the expression $\frac{9 x^{3} + 6 x^{2}}{3 x + 2}$

Step 1

Factor $3 x^{2}$ out of $9 x^{3} + 6 x^{2}$ .

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

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

Step 2

Cancel the common factor of $3 x + 2$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

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

$3 x^{2}$