13
QuizMultiple Choice

Sum and Difference of Two Cubes

Question 13 • AZ-Common Core Algebra II A

What is the justification for the first step in proving the formula for factoring the sum of cubes?a3 + b3 = (a + b)(a2 – ab + b2) = a3 – a2b + ab2 + a2b – ab2 + b3

Answer
A
distributive property
B
commutative property
C
definition of additive inverse
D
definition of multiplicative inverse

Explanation

The first step expands (a + b)(a² − ab + b²) by multiplying each term in the first factor by each term in the second. This is the distributive property, producing a³ − a²b + ab² + a²b − ab² + b³. Therefore, the correct choice is A, distributive property.

AI-written and checked against the verified answer.

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