which term completes the product so that it is the difference of squares? (-5x - 3)(-5x+______)\n-9\n-3\n3\n9

Explanation:

Step1: Recall difference - of - squares formula

The difference - of - squares formula is $(a - b)(a + b)=a^{2}-b^{2}$. In the given expression $(-5x - 3)(-5x+\underline{?})$, here $a=-5x$ and $b = 3$.

Step2: Determine the missing term

For the product to be in the form of the difference of squares, the missing term should be the opposite of the second term in the first binomial. Since the second term in the first binomial is $- 3$, the missing term is $3$.

Answer:

C. 3