Solve (-2m)^2(-mm^2+3m^3)

$$( - 2 m ) ^ { 2 } ( - m m ^ { 2 } + 3 m ^ { 3 } )$$

Evaluate

$$8m^{5}$$

Solution Steps

Expand \left(-2m\right)^{2}.

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

Calculate -2 to the power of 2 and get 4.

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

Use the distributive property to multiply 4m^{2} by \left(-m\right)m^{2}+3m^{3}.

$$4\left(-m\right)m^{4}+12m^{5}$$

Multiply 4 and -1 to get -4.

$$-4mm^{4}+12m^{5}$$

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

$$-4m^{5}+12m^{5}$$

Combine -4m^{5} and 12m^{5} to get 8m^{5}.

$$8m^{5}$$

Expand

$$8m^{5}$$

Solution Steps

Expand \left(-2m\right)^{2}.

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

Calculate -2 to the power of 2 and get 4.

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

Use the distributive property to multiply 4m^{2} by \left(-m\right)m^{2}+3m^{3}.

$$4\left(-m\right)m^{4}+12m^{5}$$

Multiply 4 and -1 to get -4.

$$-4mm^{4}+12m^{5}$$

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

$$-4m^{5}+12m^{5}$$

Combine -4m^{5} and 12m^{5} to get 8m^{5}.

$$8m^{5}$$