Divide (9x^5+9x^4+45x^3)/(9x^2)

$\frac{9 x^{5} + 9 x^{4} + 45 x^{3}}{9 x^{2}}$

Step 1

Factor $9 x^{3}$ out of $9 x^{5} + 9 x^{4} + 45 x^{3}$ .

Factor $9 x^{3}$ out of $9 x^{5}$ .

$\frac{9 x^{3} (x^{2}) + 9 x^{4} + 45 x^{3}}{9 x^{2}}$

Factor $9 x^{3}$ out of $9 x^{4}$ .

$\frac{9 x^{3} (x^{2}) + 9 x^{3} (x) + 45 x^{3}}{9 x^{2}}$

Factor $9 x^{3}$ out of $45 x^{3}$ .

$\frac{9 x^{3} (x^{2}) + 9 x^{3} (x) + 9 x^{3} (5)}{9 x^{2}}$

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

$\frac{9 x^{3} (x^{2} + x) + 9 x^{3} (5)}{9 x^{2}}$

Factor $9 x^{3}$ out of $9 x^{3} (x^{2} + x) + 9 x^{3} (5)$ .

$\frac{9 x^{3} (x^{2} + x + 5)}{9 x^{2}}$

Step 2

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x^{3} (x^{2} + x + 5)}{9 x^{2}}$

Rewrite the expression.

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

Step 3

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

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

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

Cancel the common factors.

Multiply by $1$ .

$\frac{x^{2} (x (x^{2} + x + 5))}{x^{2} \cdot 1}$

Cancel the common factor.

$\frac{x^{2} (x (x^{2} + x + 5))}{x^{2} \cdot 1}$

Rewrite the expression.

$\frac{x (x^{2} + x + 5)}{1}$

Divide $x (x^{2} + x + 5)$ by $1$ .

$x (x^{2} + x + 5)$

Step 4

Apply the distributive property.

$x \cdot x^{2} + x \cdot x + x \cdot 5$

Step 5

Simplify.

Multiply $x$ by $x^{2}$ by adding the exponents.

Multiply $x$ by $x^{2}$ .

Raise $x$ to the power of $1$ .

$x^{1} x^{2} + x \cdot x + x \cdot 5$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{1 + 2} + x \cdot x + x \cdot 5$

Add $1$ and $2$ .

$x^{3} + x \cdot x + x \cdot 5$

Multiply $x$ by $x$ .

$x^{3} + x^{2} + x \cdot 5$

Move $5$ to the left of $x$ .

$x^{3} + x^{2} + 5 \cdot x$

$x^{3} + x^{2} + 5 x$

Divide (9x^5+9x^4+45x^3)/(9x^2)

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