Divide (2a^3b^2-10ab^3c)÷2ab^2

$(2 a^{3} b^{2} - 10 a b^{3} c) \div 2 a b^{2}$

Rewrite the division as a fraction.

$\frac{2 a^{3} b^{2} - 10 a b^{3} c}{2 a b^{2}}$

Factor $2 a b^{2}$ out of $2 a^{3} b^{2} - 10 a b^{3} c$ .

Factor $2 a b^{2}$ out of $2 a^{3} b^{2}$ .

$\frac{2 a b^{2} (a^{2}) - 10 a b^{3} c}{2 a b^{2}}$

Factor $2 a b^{2}$ out of $- 10 a b^{3} c$ .

$\frac{2 a b^{2} (a^{2}) + 2 a b^{2} (- 5 b c)}{2 a b^{2}}$

Factor $2 a b^{2}$ out of $2 a b^{2} (a^{2}) + 2 a b^{2} (- 5 b c)$ .

$\frac{2 a b^{2} (a^{2} - 5 b c)}{2 a b^{2}}$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a b^{2} (a^{2} - 5 b c)}{2 a b^{2}}$

Rewrite the expression.

$\frac{a b^{2} (a^{2} - 5 b c)}{a b^{2}}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a b^{2} (a^{2} - 5 b c)}{a b^{2}}$

Rewrite the expression.

$\frac{b^{2} (a^{2} - 5 b c)}{b^{2}}$

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

Cancel the common factor.

$\frac{b^{2} (a^{2} - 5 b c)}{b^{2}}$

Divide $a^{2} - 5 b c$ by $1$ .

$a^{2} - 5 b c$