Multiply (6z-u)(2z+5u)

Math
(6z-u)(2z+5u)
Expand (6z-u)(2z+5u) using the FOIL Method.
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Apply the distributive property.
6z(2z+5u)-u(2z+5u)
Apply the distributive property.
6z(2z)+6z(5u)-u(2z+5u)
Apply the distributive property.
6z(2z)+6z(5u)-u(2z)-u(5u)
6z(2z)+6z(5u)-u(2z)-u(5u)
Simplify and combine like terms.
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Simplify each term.
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Multiply z by z.
6⋅2z2+6z(5u)-u(2z)-u(5u)
Multiply 6 by 2.
12z2+6z(5u)-u(2z)-u(5u)
Rewrite using the commutative property of multiplication.
12z2+6⋅5(zu)-u(2z)-u(5u)
Multiply 6 by 5.
12z2+30(zu)-u(2z)-u(5u)
Rewrite using the commutative property of multiplication.
12z2+30zu-1⋅2(uz)-u(5u)
Multiply -1 by 2.
12z2+30zu-2(uz)-u(5u)
Multiply u by u.
12z2+30zu-2uz-1⋅5u2
Multiply -1 by 5.
12z2+30zu-2uz-5u2
12z2+30zu-2uz-5u2
Subtract 2uz from 30zu.
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Move z.
12z2+30uz-2uz-5u2
Subtract 2uz from 30uz.
12z2+28uz-5u2
12z2+28uz-5u2
12z2+28uz-5u2
Move 12z2.
28uz-5u2+12z2
Reorder 28uz and -5u2.
-5u2+28uz+12z2
Multiply (6z-u)(2z+5u)

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