Simplify 2x^11-6x^7-(10x^6)÷2x^3

$2 x^{11} - 6 x^{7} - 10 x^{6} \div 2 x^{3}$

Step 1

Rewrite the division as a fraction.

$2 x^{11} - 6 x^{7} - \frac{10 x^{6}}{2 x^{3}}$

Step 2

Cancel the common factor of $10$ and $2$ .

Factor $2$ out of $10 x^{6}$ .

$2 x^{11} - 6 x^{7} - \frac{2 (5 x^{6})}{2 x^{3}}$

Cancel the common factors.

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

$2 x^{11} - 6 x^{7} - \frac{2 (5 x^{6})}{2 (x^{3})}$

Cancel the common factor.

$2 x^{11} - 6 x^{7} - \frac{2 (5 x^{6})}{2 x^{3}}$

Rewrite the expression.

$2 x^{11} - 6 x^{7} - \frac{5 x^{6}}{x^{3}}$

Step 3

Cancel the common factor of $x^{6}$ and $x^{3}$ .

Factor $x^{3}$ out of $5 x^{6}$ .

$2 x^{11} - 6 x^{7} - \frac{x^{3} (5 x^{3})}{x^{3}}$

Cancel the common factors.

Multiply by $1$ .

$2 x^{11} - 6 x^{7} - \frac{x^{3} (5 x^{3})}{x^{3} \cdot 1}$

Cancel the common factor.

$2 x^{11} - 6 x^{7} - \frac{x^{3} (5 x^{3})}{x^{3} \cdot 1}$

Rewrite the expression.

$2 x^{11} - 6 x^{7} - \frac{5 x^{3}}{1}$

Divide $5 x^{3}$ by $1$ .

$2 x^{11} - 6 x^{7} - (5 x^{3})$

Step 4

Multiply $5$ by $- 1$ .

$2 x^{11} - 6 x^{7} - 5 x^{3}$