Algebra Examples

$(5 x^{4} - 5 x^{3} + 2 x^{2}) \div (x^{2})$

Step 1

Rewrite the division as a fraction.

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

Step 2

Factor $x^{2}$ out of $5 x^{4} - 5 x^{3} + 2 x^{2}$ .

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Step 2.1

Factor $x^{2}$ out of $5 x^{4}$ .

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

Step 2.2

Factor $x^{2}$ out of $- 5 x^{3}$ .

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

Step 2.3

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

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

Step 2.4

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

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

Step 2.5

Factor $x^{2}$ out of $x^{2} (5 x^{2} - 5 x) + x^{2} \cdot 2$ .

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

Step 3

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

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Step 3.1

Cancel the common factor.

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

Step 3.2

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

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