Solve m^3/m^2+3m-42m+4/m

$$\frac{ { m }^{ 3 } }{ { m }^{ 2 } +3m-4 } \frac{ 2m+4 }{ m }$$

Evaluate

$$\frac{2\left(m+2\right)m^{2}}{\left(m-1\right)\left(m+4\right)}$$

Short Solution Steps

Multiply \frac{m^{3}}{m^{2}+3m-4} times \frac{2m+4}{m} by multiplying numerator times numerator and denominator times denominator.

$$\frac{m^{3}\left(2m+4\right)}{\left(m^{2}+3m-4\right)m}$$

Cancel out m in both numerator and denominator.

$$\frac{\left(2m+4\right)m^{2}}{m^{2}+3m-4}$$

Use the distributive property to multiply 2m+4 by m^{2}.

$$\frac{2m^{3}+4m^{2}}{m^{2}+3m-4}$$

Expand

$$\frac{2\left(m^{3}+2m^{2}\right)}{m^{2}+3m-4}$$

Short Solution Steps

Multiply \frac{m^{3}}{m^{2}+3m-4} times \frac{2m+4}{m} by multiplying numerator times numerator and denominator times denominator.

$$\frac{m^{3}\left(2m+4\right)}{\left(m^{2}+3m-4\right)m}$$

Cancel out m in both numerator and denominator.

$$\frac{\left(2m+4\right)m^{2}}{m^{2}+3m-4}$$

Use the distributive property to multiply 2m+4 by m^{2}.

$$\frac{2m^{3}+4m^{2}}{m^{2}+3m-4}$$