(3z-5)(z+1)
Apply the distributive property.
3z(z+1)-5(z+1)
Apply the distributive property.
3z⋅z+3z⋅1-5(z+1)
Apply the distributive property.
3z⋅z+3z⋅1-5z-5⋅1
3z⋅z+3z⋅1-5z-5⋅1
Simplify each term.
Multiply z by z by adding the exponents.
Move z.
3(z⋅z)+3z⋅1-5z-5⋅1
Multiply z by z.
3z2+3z⋅1-5z-5⋅1
3z2+3z⋅1-5z-5⋅1
Multiply 3 by 1.
3z2+3z-5z-5⋅1
Multiply -5 by 1.
3z2+3z-5z-5
3z2+3z-5z-5
Subtract 5z from 3z.
3z2-2z-5
3z2-2z-5
Multiply (3z-5)(z+1)
