Solve 15n-20/frac{5{9n^3-12n^2}}

$$\frac { 15 n - 20 } { \frac { 5 } { 9 n ^ { 3 } - 12 n ^ { 2 } } }$$

Evaluate

$$3\left(n\left(3n-4\right)\right)^{2}$$

Solution Steps

Divide 15n-20 by \frac{5}{9n^{3}-12n^{2}} by multiplying 15n-20 by the reciprocal of \frac{5}{9n^{3}-12n^{2}}.

$$\frac{\left(15n-20\right)\left(9n^{3}-12n^{2}\right)}{5}$$

Use the distributive property to multiply 15n-20 by 9n^{3}-12n^{2} and combine like terms.

$$\frac{135n^{4}-360n^{3}+240n^{2}}{5}$$

Expand

$$27n^{4}-72n^{3}+48n^{2}$$

Solution Steps

Divide 15n-20 by \frac{5}{9n^{3}-12n^{2}} by multiplying 15n-20 by the reciprocal of \frac{5}{9n^{3}-12n^{2}}.

$$\frac{\left(15n-20\right)\left(9n^{3}-12n^{2}\right)}{5}$$

Use the distributive property to multiply 15n-20 by 9n^{3}-12n^{2} and combine like terms.

$$\frac{135n^{4}-360n^{3}+240n^{2}}{5}$$