Which of the following shows the complete factorization of x³ + 3x²? Options: A. x²(x - 3) B. x(x² + 3x) C. x²(x² + 3) D. x²(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: x³ + 3x²

To factorize the equation, we take x² common.

Therefore, x³ + 3x² = x²(x + 3).

Hence, the correct option is D. The factorized form of x³ + 3x² is x²(x + 3).

Which of the following shows the complete factorization of x³ + 3x²?

Summary:

The factorized form of x³ + 3x² is x²(x + 3).