Solve (3)-m^3*(-m)^4div(-m)^5

$$( 3 ) - m ^ { 3 } \cdot ( - m ) ^ { 4 } \div ( - m ) ^ { 5 }$$

Evaluate

$$m^{2}+3$$

Short Solution Steps

Cancel out \left(-m\right)^{4} in both numerator and denominator.

$$3-\frac{m^{3}}{-m}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{-m}{-m}.

$$\frac{3\left(-1\right)m}{-m}-\frac{m^{3}}{-m}$$

Since \frac{3\left(-1\right)m}{-m} and \frac{m^{3}}{-m} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\left(-1\right)m-m^{3}}{-m}$$

Do the multiplications in 3\left(-1\right)m-m^{3}.

$$\frac{-3m-m^{3}}{-m}$$

Factor the expressions that are not already factored in \frac{-3m-m^{3}}{-m}.

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

Cancel out m in both numerator and denominator.

$$\frac{-m^{2}-3}{-1}$$

Anything divided by -1 gives its opposite. To find the opposite of -m^{2}-3, find the opposite of each term.

$$m^{2}+3$$

Expand

$$m^{2}+3$$

Short Solution Steps

Cancel out \left(-m\right)^{4} in both numerator and denominator.

$$3-\frac{m^{3}}{-m}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{-m}{-m}.

$$\frac{3\left(-1\right)m}{-m}-\frac{m^{3}}{-m}$$

Since \frac{3\left(-1\right)m}{-m} and \frac{m^{3}}{-m} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\left(-1\right)m-m^{3}}{-m}$$

Do the multiplications in 3\left(-1\right)m-m^{3}.

$$\frac{-3m-m^{3}}{-m}$$

Factor the expressions that are not already factored in \frac{-3m-m^{3}}{-m}.

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

Cancel out m in both numerator and denominator.

$$\frac{-m^{2}-3}{-1}$$

Anything divided by -1 gives its opposite. To find the opposite of -m^{2}-3, find the opposite of each term.

$$m^{2}+3$$