The equation given in the question is
5x^2 - 5x - 100 = 5x^2 - 25x + 20x - 100
= 5x(x - 5) + 20(x - 5)
= (5x + 20)(x - 5)
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the third option or option "C". I hope that this is the answer that you were looking for and the answer has actually come to your desired help.
