Some steps to rewrite the expression x3 − x + 2x2 − 2 as a product of three factors are shown below:
step 1: x3 − x + 2x2 − 2
step 2: x3 + 2x2 − x − 2
step 3: x2(x + 2) − 1(x + 2)
which of the following best shows the next two steps to rewrite the expression?
step 4: (x2 + 1)(x + 2); step 5: (x + 1)(x + 1)(x + 2)
step 4: (x2 − 1)(x + 2); step 5: (x − 1)(x + 1)(x + 2)
step 4: (x2 − 1)(x + 2); step 5: (x + 1)(x + 1)(x + 2)
step 4: (x2 + 1)(x + 2); step 5: (x − 1)(x + 1)(x + 1)

The second one

Step-by-step explanation:

From step 3, that is

x²(x + 2) - 1 (x + 2) ← factor out (x + 2) from each term

= (x + 2)(x² - 1) ← step 4

x² - 1 is a difference of squares and factors as

x² - 1) = (x - 1)(x + 1)

Hence from step 4 we obtain

(x + 2)(x - 1)(x + 1) ← step 5

Step-by-step explanation:

Algebraic expression is an expression consists of variables and constants which are combined using algebraic operations: + , - , × , ÷ .

Here, we are required to simplify algebraic expression:

Three steps are given as :

We need to find the next two steps:

Next step is

We will use formula: to write as

Therefore, we get next two steps as follows:

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step-by-step explanation: