(3z-12)(z-4)
Apply the distributive property.
3z(z-4)-12(z-4)
Apply the distributive property.
3z⋅z+3z⋅-4-12(z-4)
Apply the distributive property.
3z⋅z+3z⋅-4-12z-12⋅-4
3z⋅z+3z⋅-4-12z-12⋅-4
Simplify each term.
Multiply z by z by adding the exponents.
Move z.
3(z⋅z)+3z⋅-4-12z-12⋅-4
Multiply z by z.
3z2+3z⋅-4-12z-12⋅-4
3z2+3z⋅-4-12z-12⋅-4
Multiply -4 by 3.
3z2-12z-12z-12⋅-4
Multiply -12 by -4.
3z2-12z-12z+48
3z2-12z-12z+48
Subtract 12z from -12z.
3z2-24z+48
3z2-24z+48
Simplify (3z-12)(z-4)
