Question

WORTH 20 POINTS AND BRAINLIEST!!!

Some steps to rewrite the expression x3 − 9x + x2 − 9 as a product of three factors are shown below:

Step 1: x3 − 9x + x2 − 9
Step 2: x3 + x2 − 9x − 9
Step 3: x2(x + 1) − 9(x + 1)

Which of the following best shows the next two steps to rewrite the expression?
Step 4: (x2 + 9)(x + 1); Step 5: (x + 3)(x + 3)(x + 1)
Step 4: (x2 − 9)(x + 1); Step 5: (x + 3)(x + 3)(x + 1)
Step 4: (x2 + 9)(x + 1); Step 5: (x − 3)(x + 3)(x + 1)
Step 4: (x2 − 9)(x + 1); Step 5: (x − 3)(x + 3)(x + 1)

Answer 1

the correct answer is last option

Answer 2

Answer:

$(x+1)\cdot(x^2-9)$

$(x+1)\cdot(x-3)\cdot(x+3)$

Step-by-step explanation:

We can simplify the expression as follows:

$x^3-9\cdot(x)+x^2-9$

$x^3+x^2-9\cdot(x)-9$

we have a write the expression with a common factor of (x+1)

$x^2\cdot(x+1)-9\cdot(x+1)$

$(x+1)\cdot(x^2-9)$

We can simplify (x²-9) as:

$(x-3)\cdot(x+3)=x^3-3\cdot(x)+3\cdot(x)-9$

Therefore the final form of the expression is:

$(x+1)\cdot(x-3)\cdot(x+3)$

The fourth option is the best option.