# Which of the following shows the complete factorization of x^{3} + 3x^{2}? Options: A. x^{2}(x - 3) B. x(x^{2} + 3x) C. x^{2}(x^{2} + 3) D. x^{2}(x + 3)

**Solution:**

Factorization of expressions is important if we want to simplify a complicated expression. Often, factorized form is easier to read or analyze as compared to the expanded form.

Given expression: x^{3} + 3x^{2}

To factorize the equation, we take x^{2} common.

Therefore, x^{3} + 3x^{2} = x^{2}(x + 3).

Hence, the correct option is D. The factorized form of x^{3} + 3x^{2 }is x^{2}(x + 3).

## Which of the following shows the complete factorization of x^{3} + 3x^{2}?

**Summary:**

The factorized form of x^{3} + 3x^{2 }is x^{2}(x + 3).

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