Simplify (6q^4-3q^2)÷2q^2

$(6 q^{4} - 3 q^{2}) \div 2 q^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{6 q^{4} - 3 q^{2}}{2 q^{2}}$

Step 2

Factor $3 q^{2}$ out of $6 q^{4} - 3 q^{2}$ .

Factor $3 q^{2}$ out of $6 q^{4}$ .

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

Factor $3 q^{2}$ out of $- 3 q^{2}$ .

$\frac{3 q^{2} (2 q^{2}) + 3 q^{2} (- 1)}{2 q^{2}}$

Factor $3 q^{2}$ out of $3 q^{2} (2 q^{2}) + 3 q^{2} (- 1)$ .

$\frac{3 q^{2} (2 q^{2} - 1)}{2 q^{2}}$

Step 3

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

Cancel the common factor.

$\frac{3 q^{2} (2 q^{2} - 1)}{2 q^{2}}$

Rewrite the expression.

$\frac{3 (2 q^{2} - 1)}{2}$