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Some steps to rewrite the expression x3 − 16x + x2 − 16 as a product of three factors are shown below:

Step 1: x3 − 16x + x2 − 16
Step 2: x3 + x2 − 16x − 16
Step 3: x2(x + 1) − 16(x + 1)

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

Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Step 4: (x2 + 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)

Respuesta :

emily41006

Answer:

third one

Step-by-step explanation:

the third one should be the answer

step 4 came out becoz of taking the common factor(x+1) and combining x2 and (-16)

Step 5 came out becoz of the theory of (a^2-b^2) = (a+b)(a-b)

ps 16 here is equal to 4^2

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