Basic Math Examples

$(4 p q^{3} + 8 p^{2} q^{2} - 16 p q^{5}) \div 4 p q^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{4 p q^{3} + 8 p^{2} q^{2} - 16 p q^{5}}{4 p q^{2}}$

Step 2

Factor $4 p q^{2}$ out of $4 p q^{3} + 8 p^{2} q^{2} - 16 p q^{5}$ .

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Step 2.1

Factor $4 p q^{2}$ out of $4 p q^{3}$ .

$\frac{4 p q^{2} (q) + 8 p^{2} q^{2} - 16 p q^{5}}{4 p q^{2}}$

Step 2.2

Factor $4 p q^{2}$ out of $8 p^{2} q^{2}$ .

$\frac{4 p q^{2} (q) + 4 p q^{2} (2 p) - 16 p q^{5}}{4 p q^{2}}$

Step 2.3

Factor $4 p q^{2}$ out of $- 16 p q^{5}$ .

$\frac{4 p q^{2} (q) + 4 p q^{2} (2 p) + 4 p q^{2} (- 4 q^{3})}{4 p q^{2}}$

Step 2.4

Factor $4 p q^{2}$ out of $4 p q^{2} (q) + 4 p q^{2} (2 p)$ .

$\frac{4 p q^{2} (q + 2 p) + 4 p q^{2} (- 4 q^{3})}{4 p q^{2}}$

Step 2.5

Factor $4 p q^{2}$ out of $4 p q^{2} (q + 2 p) + 4 p q^{2} (- 4 q^{3})$ .

$\frac{4 p q^{2} (q + 2 p - 4 q^{3})}{4 p q^{2}}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Cancel the common factor.

$\frac{4 p q^{2} (q + 2 p - 4 q^{3})}{4 p q^{2}}$

Step 3.2

Rewrite the expression.

$\frac{p q^{2} (q + 2 p - 4 q^{3})}{p q^{2}}$

Step 4

Cancel the common factor of $p$ .

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Step 4.1

Cancel the common factor.

$\frac{p q^{2} (q + 2 p - 4 q^{3})}{p q^{2}}$

Step 4.2

Rewrite the expression.

$\frac{q^{2} (q + 2 p - 4 q^{3})}{q^{2}}$

Step 5

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

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Step 5.1

Cancel the common factor.

$\frac{q^{2} (q + 2 p - 4 q^{3})}{q^{2}}$

Step 5.2

Divide $q + 2 p - 4 q^{3}$ by $1$ .

$q + 2 p - 4 q^{3}$