Solve m^3+6m^2+9m+4/4(m+1)(m+2)(m+3)=

$$\frac { m ^ { 3 } + 6 m ^ { 2 } + 9 m + 4 } { 4 ( m + 1 ) ( m + 2 ) ( m + 3 ) } =$$

Evaluate

$$\frac{\left(m+1\right)\left(m+4\right)}{4\left(m+2\right)\left(m+3\right)}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(m+4\right)\left(m+1\right)^{2}}{4\left(m+1\right)\left(m+2\right)\left(m+3\right)}$$

Cancel out m+1 in both numerator and denominator.

$$\frac{\left(m+1\right)\left(m+4\right)}{4\left(m+2\right)\left(m+3\right)}$$

Expand the expression.

$$\frac{m^{2}+5m+4}{4m^{2}+20m+24}$$

Expand

$$\frac{m^{2}+5m+4}{4\left(m+2\right)\left(m+3\right)}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(m+4\right)\left(m+1\right)^{2}}{4\left(m+1\right)\left(m+2\right)\left(m+3\right)}$$

Cancel out m+1 in both numerator and denominator.

$$\frac{\left(m+1\right)\left(m+4\right)}{4\left(m+2\right)\left(m+3\right)}$$

Expand the expression.

$$\frac{m^{2}+5m+4}{4m^{2}+20m+24}$$