Solve -mleft(m^2-1right)left(m^2-4right)

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

Evaluate

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

Solution Steps

Use the distributive property to multiply -m by m^{2}-1.

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

Multiply -1 and -1 to get 1.

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

Use the distributive property to multiply \left(-m\right)m^{2}+m by m^{2}-4.

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

Multiply -4 and -1 to get 4.

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

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

Combine 4m^{3} and m^{3} to get 5m^{3}.

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

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$-m^{5}+5m^{3}-4m$$

Expand

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

Solution Steps

Use the distributive property to multiply -m by m^{2}-1.

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

Multiply -1 and -1 to get 1.

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

Use the distributive property to multiply \left(-m\right)m^{2}+m by m^{2}-4.

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

Multiply -4 and -1 to get 4.

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

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

Combine 4m^{3} and m^{3} to get 5m^{3}.

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

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$-m^{5}+5m^{3}-4m$$