## HelloKitty17 one year ago 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? a. Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1) b.Step 4: (x2 - 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1) c.Step 4:(x2 - 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1) d.Step 4: (x2 + 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1)

1. HelloKitty17

@misty1212

2. misty1212

hmmm

3. HelloKitty17

it is very hard quetion

4. misty1212

$x^2(x+1)-16(x+1)\to (x^2-16)(x+1)$ would be a good first step

5. misty1212

then factor $$x^2-16$$ it is the difference of two squares so it is $$x^2-16=(x+4)(x-4)$$

6. misty1212

looks like it is C as usual $c.Step 4:(x2 - 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1)$