Solve (2m^2+3m)/2*(m+3)/1

$$\frac { ( 2 m ^ { 2 } + 3 m ) } { 2 } \times \frac { ( m + 3 ) } { 1 }$$

Evaluate

$$\frac{m\left(m+3\right)\left(2m+3\right)}{2}$$

Solution Steps

Anything divided by one gives itself.

$$\frac{2m^{2}+3m}{2}\left(m+3\right)$$

Express \frac{2m^{2}+3m}{2}\left(m+3\right) as a single fraction.

$$\frac{\left(2m^{2}+3m\right)\left(m+3\right)}{2}$$

Use the distributive property to multiply 2m^{2}+3m by m+3 and combine like terms.

$$\frac{2m^{3}+9m^{2}+9m}{2}$$

Expand

$$m^{3}+\frac{9m^{2}}{2}+\frac{9m}{2}$$

Solution Steps

Anything divided by one gives itself.

$$\frac{2m^{2}+3m}{2}\left(m+3\right)$$

Express \frac{2m^{2}+3m}{2}\left(m+3\right) as a single fraction.

$$\frac{\left(2m^{2}+3m\right)\left(m+3\right)}{2}$$

Use the distributive property to multiply 2m^{2}+3m by m+3 and combine like terms.

$$\frac{2m^{3}+9m^{2}+9m}{2}$$