Solve 4m^2-5m*(-m+2n-1)+4m(-2m-3n+2)

$$4 m ^ { 2 } - 5 m \cdot ( - m + 2 n - 1 ) + 4 m ( - 2 m - 3 n + 2 )$$

Evaluate

$$m\left(m-22n+13\right)$$

Solution Steps

Use the distributive property to multiply 4m by -2m-3n+2.

$$4m^{2}-5m\left(-m+2n-1\right)-8m^{2}-12mn+8m$$

Use the distributive property to multiply -5m by -m+2n-1.

$$4m^{2}+5m^{2}-10mn+5m-8m^{2}-12mn+8m$$

Combine 4m^{2} and 5m^{2} to get 9m^{2}.

$$9m^{2}-10mn+5m-8m^{2}-12mn+8m$$

Combine 9m^{2} and -8m^{2} to get m^{2}.

$$m^{2}-10mn+5m-12mn+8m$$

Combine -10mn and -12mn to get -22mn.

$$m^{2}-22mn+5m+8m$$

Combine 5m and 8m to get 13m.

$$m^{2}-22mn+13m$$

Expand

$$m^{2}-22mn+13m$$

Solution Steps

Use the distributive property to multiply 4m by -2m-3n+2.

$$4m^{2}-5m\left(-m+2n-1\right)-8m^{2}-12mn+8m$$

Use the distributive property to multiply -5m by -m+2n-1.

$$4m^{2}+5m^{2}-10mn+5m-8m^{2}-12mn+8m$$

Combine 4m^{2} and 5m^{2} to get 9m^{2}.

$$9m^{2}-10mn+5m-8m^{2}-12mn+8m$$

Combine 9m^{2} and -8m^{2} to get m^{2}.

$$m^{2}-10mn+5m-12mn+8m$$

Combine -10mn and -12mn to get -22mn.

$$m^{2}-22mn+5m+8m$$

Combine 5m and 8m to get 13m.

$$m^{2}-22mn+13m$$