Problem

Factorize the expression \(3x^3+3x^2-4x-4\) by grouping.

Answer

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Answer

Step 3: Notice that the expressions in parentheses are the same, so we can factor out \(x+1\) as a common factor: \((3x^2-4)(x+1)\)

Steps

Step 1 ：Step 1: The given expression is \(3x^3+3x^2-4x-4\). Group the terms in pairs: \((3x^3+3x^2)+(-4x-4)\)

Step 2 ：Step 2: Factor out the greatest common factor from each group: \(3x^2(x+1)-4(x+1)\)

Step 3 ：Step 3: Notice that the expressions in parentheses are the same, so we can factor out \(x+1\) as a common factor: \((3x^2-4)(x+1)\)

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