Divide (5ab-10b^2+15bc)÷5b

$(5 a b - 10 b^{2} + 15 b c) \div 5 b$

Step 1

Rewrite the division as a fraction.

$\frac{5 a b - 10 b^{2} + 15 b c}{5 b}$

Step 2

Factor $5 b$ out of $5 a b - 10 b^{2} + 15 b c$ .

Factor $5 b$ out of $5 a b$ .

$\frac{5 b (a) - 10 b^{2} + 15 b c}{5 b}$

Factor $5 b$ out of $- 10 b^{2}$ .

$\frac{5 b (a) + 5 b (- 2 b) + 15 b c}{5 b}$

Factor $5 b$ out of $15 b c$ .

$\frac{5 b (a) + 5 b (- 2 b) + 5 b (3 c)}{5 b}$

Factor $5 b$ out of $5 b (a) + 5 b (- 2 b)$ .

$\frac{5 b (a - 2 b) + 5 b (3 c)}{5 b}$

Factor $5 b$ out of $5 b (a - 2 b) + 5 b (3 c)$ .

$\frac{5 b (a - 2 b + 3 c)}{5 b}$

$\frac{5 b (a - 2 b + 3 c)}{5 b}$

Step 3

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 b (a - 2 b + 3 c)}{5 b}$

Rewrite the expression.

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

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

Step 4

Cancel the common factor of $b$ .

Cancel the common factor.

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

Divide $a - 2 b + 3 c$ by $1$ .

$a - 2 b + 3 c$

$a - 2 b + 3 c$

Related Questions