Solve -6left(s-tright)left(s+tright)

$$-6 \left( s-t \right) \left( s+t \right)$$

Evaluate

$$-6\left(s^{2}-t^{2}\right)$$

Solution Steps

Use the distributive property to multiply -6 by s-t.

$$\left(-6s+6t\right)\left(s+t\right)$$

Apply the distributive property by multiplying each term of -6s+6t by each term of s+t.

$$-6s^{2}-6st+6ts+6t^{2}$$

Combine -6st and 6ts to get 0.

$$-6s^{2}+6t^{2}$$

Expand

$$6t^{2}-6s^{2}$$

Solution Steps

Use the distributive property to multiply -6 by s-t.

$$\left(-6s+6t\right)\left(s+t\right)$$

Apply the distributive property by multiplying each term of -6s+6t by each term of s+t.

$$-6s^{2}-6st+6ts+6t^{2}$$

Combine -6st and 6ts to get 0.

$$-6s^{2}+6t^{2}$$