Answer:
Option C
-3(x² + 2x) + 4x(x + 3) – 3x
Step-by-step explanation:
-3(x² – 2x) + 4x(x + 3) – 12x
-3x² + 6x + 4x² + 12x – 12x
4x² – 3x² + 6x + 12x – 12x
x² + 6x
Here, The answer is x² + 6x but our required answer is x² + 3x. So, option a is not the answer.
3(x² + 2x) – 4x(x – 3) + 3x
3x² + 6x – 4x² + 12x + 3x
3x² – 4x² + 12x + 3x + 6x
-x² + 21x
Here, The answer is -x² + 21x but our required answer is x² + 3x. So, option b is not the answer.
-3(x² + 2x) + 4x(x + 3) – 3x
-3x² – 6x + 4x² + 12x – 3x
4x² – 3x² – 6x + 12x – 3x
x² + 3x
Here, The answer is x² + 3x and our required answer is x² + 3x. So, option c is the answer.
Thus, The correct answer is option c.