Mathematics

Combs

5 November, 20:05

Some steps to rewrite the expression x^3 - 9x + x^2 - 9 as a product of three factors are shown below:

Step 1: x^3 - 9x + x^2 - 9

Step 2: x^3 + x^2 - 9x - 9

Step 3: x^2 (x + 1) - 9 (x + 1)

Which of the following best shows the next two steps to rewrite the expression?

A) Step 4: (x^2 + 9) (x + 1); Step 5: (x + 3) (x + 3) (x + 1)

B) Step 4: (x^2 - 9) (x + 1); Step 5: (x + 3) (x + 3) (x + 1)

C) Step 4: (x^2 + 9) (x + 1); Step 5: (x - 3) (x + 3) (x + 1)

D) Step 4: (x^2 - 9) (x + 1); Step 5: (x - 3) (x + 3) (x + 1)