In the common extensions example, which operation is performed?

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Multiple Choice

In the common extensions example, which operation is performed?

Explanation:
Forming a common extension relies on adding the same extra pieces to each side. When you want two expressions to share a common extended form, you bring in an identical addition to both, which is achieved through addition. By appending the same term to each side (for example, turning A into A + C and B into B + C), you create a larger, common structure that can be compared or used together. Subtraction would remove parts, while multiplication or division would scale or split parts differently, breaking the uniform extension. So the operation used to build that shared form is addition.

Forming a common extension relies on adding the same extra pieces to each side. When you want two expressions to share a common extended form, you bring in an identical addition to both, which is achieved through addition. By appending the same term to each side (for example, turning A into A + C and B into B + C), you create a larger, common structure that can be compared or used together. Subtraction would remove parts, while multiplication or division would scale or split parts differently, breaking the uniform extension. So the operation used to build that shared form is addition.

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