Solve 6r^2-7r+1/3r-2divr^2

$$\frac { 6 r ^ { 2 } - 7 r + 1 } { 3 r - 2 } \div r ^ { 2 }$$

Evaluate

$$\frac{\left(r-1\right)\left(6r-1\right)}{\left(3r-2\right)r^{2}}$$

Short Solution Steps

Express \frac{\frac{6r^{2}-7r+1}{3r-2}}{r^{2}} as a single fraction.

$$\frac{6r^{2}-7r+1}{\left(3r-2\right)r^{2}}$$

Use the distributive property to multiply 3r-2 by r^{2}.

$$\frac{6r^{2}-7r+1}{3r^{3}-2r^{2}}$$

Expand

$$\frac{6r^{2}-7r+1}{\left(3r-2\right)r^{2}}$$

Short Solution Steps

Express \frac{\frac{6r^{2}-7r+1}{3r-2}}{r^{2}} as a single fraction.

$$\frac{6r^{2}-7r+1}{\left(3r-2\right)r^{2}}$$

Use the distributive property to multiply 3r-2 by r^{2}.

$$\frac{6r^{2}-7r+1}{3r^{3}-2r^{2}}$$