Divide (35x^4-21x^6-42x^2)/(7x^2)

$\frac{35 x^{4} - 21 x^{6} - 42 x^{2}}{7 x^{2}}$

Simplify the numerator.

Factor $7 x^{2}$ out of $35 x^{4} - 21 x^{6} - 42 x^{2}$ .

Factor $7 x^{2}$ out of $35 x^{4}$ .

$\frac{7 x^{2} (5 x^{2}) - 21 x^{6} - 42 x^{2}}{7 x^{2}}$

Factor $7 x^{2}$ out of $- 21 x^{6}$ .

$\frac{7 x^{2} (5 x^{2}) + 7 x^{2} (- 3 x^{4}) - 42 x^{2}}{7 x^{2}}$

Factor $7 x^{2}$ out of $- 42 x^{2}$ .

$\frac{7 x^{2} (5 x^{2}) + 7 x^{2} (- 3 x^{4}) + 7 x^{2} (- 6)}{7 x^{2}}$

Factor $7 x^{2}$ out of $7 x^{2} (5 x^{2}) + 7 x^{2} (- 3 x^{4})$ .

$\frac{7 x^{2} (5 x^{2} - 3 x^{4}) + 7 x^{2} (- 6)}{7 x^{2}}$

Factor $7 x^{2}$ out of $7 x^{2} (5 x^{2} - 3 x^{4}) + 7 x^{2} (- 6)$ .

$\frac{7 x^{2} (5 x^{2} - 3 x^{4} - 6)}{7 x^{2}}$

Reorder terms.

$\frac{7 x^{2} (- 3 x^{4} + 5 x^{2} - 6)}{7 x^{2}}$

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x^{2} (- 3 x^{4} + 5 x^{2} - 6)}{7 x^{2}}$

Rewrite the expression.

$\frac{x^{2} (- 3 x^{4} + 5 x^{2} - 6)}{x^{2}}$

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

Cancel the common factor.

$\frac{x^{2} (- 3 x^{4} + 5 x^{2} - 6)}{x^{2}}$

Divide $- 3 x^{4} + 5 x^{2} - 6$ by $1$ .

$- 3 x^{4} + 5 x^{2} - 6$