Through algebraic operations of subtraction, the result of the operations is 2x² + 2x. None of the options given in the question match this result.
The given question asks to perform two subtraction operations. Let's solve this step-by-step:
- First, subtracting x² - 5x from 2x² + 4x + 3 gives us (2x² - x²) + (4x - (-5x)) + 3 = x² + 9x + 3.
- The next step is to subtract -x² - 7x - 4x² + 4x + 3 from our previous result. This yields (x² - (-x² - 4x²)) + (9x - (-7x + 4x)) + (3 -3) = 2x² + 2x.
So the resultant of the operations is 2x² + 2x.