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Associative property

The associative property states that when three or more expressions are added or multiplied, they may be grouped without affecting the answer. The commutative property applies within the associative property.

(x + y) + z = x + (y + z)

(xy)z = x(yz)

This law applies with a larger number of expressions, as well as grouped expressions.

(x + xy) + 3z + 5xz/2 =

x + (xy + 3z) + 5xz/2 =

x + (xy + 3z + 5xz/2)

Again, you should think of subtraction as addition of a negative number.

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Q: Associative properties of addition and multiplication?

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