Drag each expression to show whether it is equivalent to (5⋅9x)+(5⋅1), 45x+15, or 15(3x−1).

Part A: Option e:

           Option f:

Part B: Option c:

           Option d:

Part C: Option a:

           Option b:

Explanation:

Part A: The equation is

Simplifying, we have,

Taking the term 5 common out, we have,

Thus, the above two expressions are equivalent to the equation .

Hence, Option e and Option f are the correct answers.

Part B: The equation is

Taking the term 15 common out, we have,

Also, the equation can be rewritten as,

Thus, the above two expressions are equivalent to the equation

Hence, Option c and Option d are the correct answers.

Part C: The equation is

Multiplying, we have,

The above expression can be rewritten as,

Thus, the above two expressions are equivalent to the equation

Hence, Option a and Option b are the correct answers.

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step-by-step explanation:

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