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Starting with the formula for the difference of cubes, which pair of steps can be used to show that the expressions are equivalent? Apply the distributive property, and then combine like terms. Combine like terms, and then apply the distributive property. Apply the commutative property, and then combine like terms. Combine like terms, and then apply the commutative property.

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Answer:

A

Step-by-step explanation:

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Apply the distributive property, and then combine like terms which is correct option(A).

What is the commutative property?

According to the commutative property formula, the result is unchanged by the sequence in which two numbers are added or multiplied.

What is the distributive property?

The distributive property states that combining the products together after multiplying the sum of two or more addends by a number will produce the same results as multiplying each addend separately by the number.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The formula for the difference of cubes as:

x³ − y³ = (x − y)(x² + xy + y²)

⇒ (x − y)(x² + xy + y²)

Apply the distributive property in the expression,

⇒ x.x² + x.xy + x.y² -y.x² - y.xy - y.y²

⇒ x³ + x²y + x y² - x²y - x y² - y³

Combine like terms and apply the arithmetic operations,

⇒ x³ − y³

Hence, Apply the distributive property, and then combine like terms.

Learn more about  distributive property here:

https://brainly.com/question/5637942

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