Question

Select the correct answer.What is the factored formed of b^3 - 1,000?

Answer 1

Step 1: Concept/Formula

`x^3-y^3=(x-y)(x^2+xy+y^2)`

Step 2: Express each term as a cube of a number.

`\begin{gathered} b^3\text{ - 1000} \\ =b^3-10^3 \\ \end{gathered}`

Step 3: Factor in the result.

`\begin{gathered} b^3-10^3=(b-10)(b^{2\text{ }}+10b+10^2) \\ =(b-10)(b^2\text{ + 10b + 100)} \end{gathered}`

Final answer

`\begin{gathered} (b-10)(b^2\text{ + 10b + 100)} \\ \text{Option B is the correct answer} \end{gathered}`