Solve 20*m^2-3*m^2-(-2*m)^2-(3*m)^2

$$20 \cdot m ^ { 2 } - 3 \cdot m ^ { 2 } - ( - 2 \cdot m ) ^ { 2 } - ( 3 \cdot m ) ^ { 2 }$$

Evaluate

$$4m^{2}$$

Solution Steps

Combine 20m^{2} and -3m^{2} to get 17m^{2}.

$$17m^{2}-\left(-2m\right)^{2}-\left(3m\right)^{2}$$

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

$$17m^{2}-\left(-2\right)^{2}m^{2}-\left(3m\right)^{2}$$

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

$$17m^{2}-4m^{2}-\left(3m\right)^{2}$$

Combine 17m^{2} and -4m^{2} to get 13m^{2}.

$$13m^{2}-\left(3m\right)^{2}$$

Expand \left(3m\right)^{2}.

$$13m^{2}-3^{2}m^{2}$$

Calculate 3 to the power of 2 and get 9.

$$13m^{2}-9m^{2}$$

Combine 13m^{2} and -9m^{2} to get 4m^{2}.

$$4m^{2}$$

Expand

$$4m^{2}$$

Solution Steps

Combine 20m^{2} and -3m^{2} to get 17m^{2}.

$$17m^{2}-\left(-2m\right)^{2}-\left(3m\right)^{2}$$

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

$$17m^{2}-\left(-2\right)^{2}m^{2}-\left(3m\right)^{2}$$

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

$$17m^{2}-4m^{2}-\left(3m\right)^{2}$$

Combine 17m^{2} and -4m^{2} to get 13m^{2}.

$$13m^{2}-\left(3m\right)^{2}$$

Expand \left(3m\right)^{2}.

$$13m^{2}-3^{2}m^{2}$$

Calculate 3 to the power of 2 and get 9.

$$13m^{2}-9m^{2}$$

Combine 13m^{2} and -9m^{2} to get 4m^{2}.

$$4m^{2}$$