Multiply (2y-5z)(4y-7z)

Math
(2y-5z)(4y-7z)
Expand (2y-5z)(4y-7z) using the FOIL Method.
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Apply the distributive property.
2y(4y-7z)-5z(4y-7z)
Apply the distributive property.
2y(4y)+2y(-7z)-5z(4y-7z)
Apply the distributive property.
2y(4y)+2y(-7z)-5z(4y)-5z(-7z)
2y(4y)+2y(-7z)-5z(4y)-5z(-7z)
Simplify and combine like terms.
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Simplify each term.
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Multiply y by y.
2⋅4y2+2y(-7z)-5z(4y)-5z(-7z)
Multiply 2 by 4.
8y2+2y(-7z)-5z(4y)-5z(-7z)
Rewrite using the commutative property of multiplication.
8y2+2⋅-7(yz)-5z(4y)-5z(-7z)
Multiply 2 by -7.
8y2-14(yz)-5z(4y)-5z(-7z)
Rewrite using the commutative property of multiplication.
8y2-14yz-5⋅4(zy)-5z(-7z)
Multiply -5 by 4.
8y2-14yz-20(zy)-5z(-7z)
Multiply z by z.
8y2-14yz-20zy-5⋅-7z2
Multiply -5 by -7.
8y2-14yz-20zy+35z2
8y2-14yz-20zy+35z2
Subtract 20zy from -14yz.
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Move z.
8y2-14yz-20yz+35z2
Subtract 20yz from -14yz.
8y2-34yz+35z2
8y2-34yz+35z2
8y2-34yz+35z2
Multiply (2y-5z)(4y-7z)

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