Simplify (60a^2b^3-48b^4+84a^5b^2)/(12ab^2)

$\frac{60 a^{2} b^{3} - 48 b^{4} + 84 a^{5} b^{2}}{12 a b^{2}}$

Step 1

Factor $12 b^{2}$ out of $60 a^{2} b^{3} - 48 b^{4} + 84 a^{5} b^{2}$ .

Factor $12 b^{2}$ out of $60 a^{2} b^{3}$ .

$\frac{12 b^{2} (5 a^{2} b) - 48 b^{4} + 84 a^{5} b^{2}}{12 a b^{2}}$

Factor $12 b^{2}$ out of $- 48 b^{4}$ .

$\frac{12 b^{2} (5 a^{2} b) + 12 b^{2} (- 4 b^{2}) + 84 a^{5} b^{2}}{12 a b^{2}}$

Factor $12 b^{2}$ out of $84 a^{5} b^{2}$ .

$\frac{12 b^{2} (5 a^{2} b) + 12 b^{2} (- 4 b^{2}) + 12 b^{2} (7 a^{5})}{12 a b^{2}}$

Factor $12 b^{2}$ out of $12 b^{2} (5 a^{2} b) + 12 b^{2} (- 4 b^{2})$ .

$\frac{12 b^{2} (5 a^{2} b - 4 b^{2}) + 12 b^{2} (7 a^{5})}{12 a b^{2}}$

Factor $12 b^{2}$ out of $12 b^{2} (5 a^{2} b - 4 b^{2}) + 12 b^{2} (7 a^{5})$ .

$\frac{12 b^{2} (5 a^{2} b - 4 b^{2} + 7 a^{5})}{12 a b^{2}}$

Step 2

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 b^{2} (5 a^{2} b - 4 b^{2} + 7 a^{5})}{12 a b^{2}}$

Rewrite the expression.

$\frac{b^{2} (5 a^{2} b - 4 b^{2} + 7 a^{5})}{a b^{2}}$

Step 3

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

Cancel the common factor.

$\frac{b^{2} (5 a^{2} b - 4 b^{2} + 7 a^{5})}{a b^{2}}$

Rewrite the expression.

$\frac{5 a^{2} b - 4 b^{2} + 7 a^{5}}{a}$