Solve 2mleft(-n+3mright)+4left(-m^2+mnright)

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

Evaluate

$$2m\left(m+n\right)$$

Solution Steps

Use the distributive property to multiply 2m by -n+3m.

$$2m\left(-n\right)+6m^{2}+4\left(-m^{2}+mn\right)$$

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

$$2m\left(-n\right)+6m^{2}+4\left(-m^{2}\right)+4mn$$

Multiply 2 and -1 to get -2.

$$-2mn+6m^{2}+4\left(-1\right)m^{2}+4mn$$

Multiply 4 and -1 to get -4.

$$-2mn+6m^{2}-4m^{2}+4mn$$

Combine 6m^{2} and -4m^{2} to get 2m^{2}.

$$-2mn+2m^{2}+4mn$$

Combine -2mn and 4mn to get 2mn.

$$2mn+2m^{2}$$

Expand

$$2m^{2}+2mn$$

Solution Steps

Use the distributive property to multiply 2m by -n+3m.

$$2m\left(-n\right)+6m^{2}+4\left(-m^{2}+mn\right)$$

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

$$2m\left(-n\right)+6m^{2}+4\left(-m^{2}\right)+4mn$$

Multiply 2 and -1 to get -2.

$$-2mn+6m^{2}+4\left(-1\right)m^{2}+4mn$$

Multiply 4 and -1 to get -4.

$$-2mn+6m^{2}-4m^{2}+4mn$$

Combine 6m^{2} and -4m^{2} to get 2m^{2}.

$$-2mn+2m^{2}+4mn$$

Combine -2mn and 4mn to get 2mn.

$$2mn+2m^{2}$$