Simplify (3z-5)(5z+4)

Math
(3z-5)(5z+4)
Expand (3z-5)(5z+4) using the FOIL Method.
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Apply the distributive property.
3z(5z+4)-5(5z+4)
Apply the distributive property.
3z(5z)+3z⋅4-5(5z+4)
Apply the distributive property.
3z(5z)+3z⋅4-5(5z)-5⋅4
3z(5z)+3z⋅4-5(5z)-5⋅4
Simplify and combine like terms.
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Simplify each term.
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Multiply z by z.
3⋅5z2+3z⋅4-5(5z)-5⋅4
Multiply 3 by 5.
15z2+3z⋅4-5(5z)-5⋅4
Multiply 4 by 3.
15z2+12z-5(5z)-5⋅4
Multiply 5 by -5.
15z2+12z-25z-5⋅4
Multiply -5 by 4.
15z2+12z-25z-20
15z2+12z-25z-20
Subtract 25z from 12z.
15z2-13z-20
15z2-13z-20
Simplify (3z-5)(5z+4)

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