Multiply (3z-2y)(7z+4y)

Math
(3z-2y)(7z+4y)
Expand (3z-2y)(7z+4y) using the FOIL Method.
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Apply the distributive property.
3z(7z+4y)-2y(7z+4y)
Apply the distributive property.
3z(7z)+3z(4y)-2y(7z+4y)
Apply the distributive property.
3z(7z)+3z(4y)-2y(7z)-2y(4y)
3z(7z)+3z(4y)-2y(7z)-2y(4y)
Simplify and combine like terms.
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Simplify each term.
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Multiply z by z.
3⋅7z2+3z(4y)-2y(7z)-2y(4y)
Multiply 3 by 7.
21z2+3z(4y)-2y(7z)-2y(4y)
Rewrite using the commutative property of multiplication.
21z2+3⋅4(zy)-2y(7z)-2y(4y)
Multiply 3 by 4.
21z2+12(zy)-2y(7z)-2y(4y)
Rewrite using the commutative property of multiplication.
21z2+12zy-2⋅7(yz)-2y(4y)
Multiply -2 by 7.
21z2+12zy-14(yz)-2y(4y)
Multiply y by y.
21z2+12zy-14yz-2⋅4y2
Multiply -2 by 4.
21z2+12zy-14yz-8y2
21z2+12zy-14yz-8y2
Subtract 14yz from 12zy.
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Move z.
21z2+12yz-14yz-8y2
Subtract 14yz from 12yz.
21z2-2yz-8y2
21z2-2yz-8y2
21z2-2yz-8y2
Move 21z2.
-2yz-8y2+21z2
Reorder -2yz and -8y2.
-8y2-2yz+21z2
Multiply (3z-2y)(7z+4y)

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