Question

Why do we need to follow the steps in factoring the sum and difference of two cubes

Answer 1

Answer:

In algebra class, the teacher would always discuss the topic of sum of two cubes and difference of two cubes side by side. The reason is that they are similar in structure. The key is to “memorize” or remember the patterns involved in the formulas.

Case 1: The polynomial in the form {a^3} + {b^3}a

3

+b

3

is called the sum of two cubes because two cubic terms are being added together.

Case 2: The polynomial in the form {a^3} - {b^3}a

3

−b

3

is called the difference of two cubes because two cubic terms are being subtracted.

So here are the formulas that summarize how to factor the sum and difference of two cubes. Study them carefully.

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