The Commutative Property of Multiplication states that changing the order of the factors does not change the product. In mathematical terms, this means that \( a \times b = b \times a \).
Now let's analyze the given options:
A. \( 11(b+z) = 11b + 11z \) - This demonstrates the Distributive Property, not the Commutative Property.
B. \( z^{11} \cdot 2 = z^{11} + 2 \) - This is incorrect, as it inaccurately portrays multiplication and addition.
C. \( 3(b^{10}+4)=3(4+b^{10})3 \) - This is not a correct representation of the Commutative Property and also has other issues (like the extraneous "3" at the end).
D. \( 2(b+z^{11})=(b^{10}+z^{11})\cdot 2 \) - This is also incorrect as it does not represent the Commutative Property.
None of the given options properly demonstrates the Commutative Property of Multiplication. The correct example would be something like \( ab = ba \).
However, if we were to find a correct illustration of this property, it would be of the form such as \( 2 \cdot b = b \cdot 2 \). Therefore, none of the provided options are correct.
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