Factorize: `x(x^3-y^3)+3x y(x-y)`

Explanation

To factorize the expression \( x(x^3 - y^3) + 3xy(x - y) \), we will follow these steps:

### Step 1: Identify Common Factors
We start with the expression:
\[ x(x^3 - y^3) + 3xy(x - y) \]

Notice that both terms have a common factor of \( x \). We can factor out \( x \):
\[ x \left( (x^3 - y^3) + 3y(x - y) \right) \]
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