Simplify (9z-u)(4z+7u)

Math
(9z-u)(4z+7u)
Expand (9z-u)(4z+7u) using the FOIL Method.
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Apply the distributive property.
9z(4z+7u)-u(4z+7u)
Apply the distributive property.
9z(4z)+9z(7u)-u(4z+7u)
Apply the distributive property.
9z(4z)+9z(7u)-u(4z)-u(7u)
9z(4z)+9z(7u)-u(4z)-u(7u)
Simplify and combine like terms.
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Simplify each term.
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Multiply z by z.
9⋅4z2+9z(7u)-u(4z)-u(7u)
Multiply 9 by 4.
36z2+9z(7u)-u(4z)-u(7u)
Rewrite using the commutative property of multiplication.
36z2+9⋅7(zu)-u(4z)-u(7u)
Multiply 9 by 7.
36z2+63(zu)-u(4z)-u(7u)
Rewrite using the commutative property of multiplication.
36z2+63zu-1⋅4(uz)-u(7u)
Multiply -1 by 4.
36z2+63zu-4(uz)-u(7u)
Multiply u by u.
36z2+63zu-4uz-1⋅7u2
Multiply -1 by 7.
36z2+63zu-4uz-7u2
36z2+63zu-4uz-7u2
Subtract 4uz from 63zu.
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Move z.
36z2+63uz-4uz-7u2
Subtract 4uz from 63uz.
36z2+59uz-7u2
36z2+59uz-7u2
36z2+59uz-7u2
Move 36z2.
59uz-7u2+36z2
Reorder 59uz and -7u2.
-7u2+59uz+36z2
Simplify (9z-u)(4z+7u)

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