Multiply (8y-z)(y-5z)

(8y-z)(y-5z)

Expand (8y-z)(y-5z) using the FOIL Method.

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Apply the distributive property.

8y(y-5z)-z(y-5z)

Apply the distributive property.

8y⋅y+8y(-5z)-z(y-5z)

Apply the distributive property.

8y⋅y+8y(-5z)-zy-z(-5z)

Simplify and combine like terms.

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Simplify each term.

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Multiply y by y by adding the exponents.

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Move y.

8(y⋅y)+8y(-5z)-zy-z(-5z)

Multiply y by y.

8y2+8y(-5z)-zy-z(-5z)

Rewrite using the commutative property of multiplication.

8y2+8⋅-5(yz)-zy-z(-5z)

Multiply 8 by -5.

8y2-40(yz)-zy-z(-5z)

Multiply z by z.

8y2-40yz-zy-1⋅-5z2

Multiply -1 by -5.

8y2-40yz-zy+5z2

Subtract zy from -40yz.

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Move z.

8y2-40yz-1yz+5z2

Subtract yz from -40yz.

8y2-41yz+5z2

Multiply (8y-z)(y-5z)