# Simplify (3z-4u)^2

(3z-4u)2
Rewrite (3z-4u)2 as (3z-4u)(3z-4u).
(3z-4u)(3z-4u)
Expand (3z-4u)(3z-4u) using the FOIL Method.
Apply the distributive property.
3z(3z-4u)-4u(3z-4u)
Apply the distributive property.
3z(3z)+3z(-4u)-4u(3z-4u)
Apply the distributive property.
3z(3z)+3z(-4u)-4u(3z)-4u(-4u)
3z(3z)+3z(-4u)-4u(3z)-4u(-4u)
Simplify and combine like terms.
Simplify each term.
Multiply z by z.
3⋅3z2+3z(-4u)-4u(3z)-4u(-4u)
Multiply 3 by 3.
9z2+3z(-4u)-4u(3z)-4u(-4u)
Rewrite using the commutative property of multiplication.
9z2+3⋅-4(zu)-4u(3z)-4u(-4u)
Multiply 3 by -4.
9z2-12(zu)-4u(3z)-4u(-4u)
Rewrite using the commutative property of multiplication.
9z2-12zu-4⋅3(uz)-4u(-4u)
Multiply -4 by 3.
9z2-12zu-12(uz)-4u(-4u)
Multiply u by u.
9z2-12zu-12uz-4⋅-4u2
Multiply -4 by -4.
9z2-12zu-12uz+16u2
9z2-12zu-12uz+16u2
Subtract 12uz from -12zu.
Move z.
9z2-12uz-12uz+16u2
Subtract 12uz from -12uz.
9z2-24uz+16u2
9z2-24uz+16u2
9z2-24uz+16u2
Move 9z2.
-24uz+16u2+9z2
Reorder -24uz and 16u2.
16u2-24uz+9z2
Simplify (3z-4u)^2

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