Pre-Algebra Examples

$(49 x^{5} - 14 x^{3} + 8 x^{2}) \div 7 x^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{49 x^{5} - 14 x^{3} + 8 x^{2}}{7 x^{2}}$

Step 2

Factor $x^{2}$ out of $49 x^{5} - 14 x^{3} + 8 x^{2}$ .

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Step 2.1

Factor $x^{2}$ out of $49 x^{5}$ .

$\frac{x^{2} (49 x^{3}) - 14 x^{3} + 8 x^{2}}{7 x^{2}}$

Step 2.2

Factor $x^{2}$ out of $- 14 x^{3}$ .

$\frac{x^{2} (49 x^{3}) + x^{2} (- 14 x) + 8 x^{2}}{7 x^{2}}$

Step 2.3

Factor $x^{2}$ out of $8 x^{2}$ .

$\frac{x^{2} (49 x^{3}) + x^{2} (- 14 x) + x^{2} \cdot 8}{7 x^{2}}$

Step 2.4

Factor $x^{2}$ out of $x^{2} (49 x^{3}) + x^{2} (- 14 x)$ .

$\frac{x^{2} (49 x^{3} - 14 x) + x^{2} \cdot 8}{7 x^{2}}$

Step 2.5

Factor $x^{2}$ out of $x^{2} (49 x^{3} - 14 x) + x^{2} \cdot 8$ .

$\frac{x^{2} (49 x^{3} - 14 x + 8)}{7 x^{2}}$

Step 3

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

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Step 3.1

Cancel the common factor.

$\frac{x^{2} (49 x^{3} - 14 x + 8)}{7 x^{2}}$

Step 3.2

Rewrite the expression.

$\frac{49 x^{3} - 14 x + 8}{7}$