Final Answer:
The simplified form of 4x² - 12x + 24x is 4x² + 12x - 24, thus the correct option is b.
Step-by-step explanation:
In order to simplify the given expression, 4x² - 12x + 24x, firstly, we will combine all the terms with the same variable, i.e. 4x² and 24x, to get 4x² + 24x. Now, subtracting 12x from the combined expression, we get 4x² + 24x - 12x. This is the simplified form of 4x² - 12x + 24x. Thus, the simplified form of 4x² - 12x + 24x is 4x² + 12x - 24.
In order to simplify an expression, we need to combine all the like terms, i.e. the terms with the same variable. Like terms should be added when the signs of the terms are the same and should be subtracted when the signs of the terms are different. Here, the terms 4x² and 24x have the same variable, i.e. x, and the same sign, i.e. positive. Thus, we combined them to get 4x² + 24x. Also, the term 12x has a different sign as compared to 4x² and 24x. Hence, we subtract 12x from the combined expression, i.e. 4x² + 24x, to get 4x² + 24x - 12x. This is the simplified form of the expression 4x² - 12x + 24x.
Therefore, the simplified form of 4x² - 12x + 24x is 4x² + 12x - 24.