Solve (2)(2m-3n)(-2m-3n)

$$( 2 ) ( 2 m - 3 n ) ( - 2 m - 3 n )$$

Evaluate

$$18n^{2}-8m^{2}$$

Solution Steps

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

$$\left(4m-6n\right)\left(-2m-3n\right)$$

Apply the distributive property by multiplying each term of 4m-6n by each term of -2m-3n.

$$-8m^{2}-12mn+12nm+18n^{2}$$

Combine -12mn and 12nm to get 0.

$$-8m^{2}+18n^{2}$$

Expand

$$18n^{2}-8m^{2}$$

Solution Steps

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

$$\left(4m-6n\right)\left(-2m-3n\right)$$

Apply the distributive property by multiplying each term of 4m-6n by each term of -2m-3n.

$$-8m^{2}-12mn+12nm+18n^{2}$$

Combine -12mn and 12nm to get 0.

$$-8m^{2}+18n^{2}$$