Algebra-1

To determine which example does not show the distributive property, we need to check whether each example correctly applies the distributive property. The distributive property states that: a(b+c)=ab+ac

A. (−6)(11−6)=−6×11+(−6)×(−6)

The left-hand side (LHS) is (−6)(11−6).

The right-hand side (RHS) is −6×11+(−6)×(−6).

For the LHS: (−6)(11−6)=−30.

For the RHS: −6×11+(−6)×(−6)=−66+36=−30.

This example shows the distributive property correctly.

B. 6(11−6)=6×11−6×(−6)

The LHS is 6(11−6).

The RHS is 6×11−6×(−6).

For the LHS: 6(11−6)=6(5)=30.

For the RHS: 6×11−6×(−6)=66−(−36)=66+36=102.

The LHS and RHS do not equal each other. This example does not show the distributive property correctly.

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