which products result in a difference of squares? check all that apply.\n(5z + 3)(-5z - 3)\n(w - 2.5)(w +…

Explanation:

Step1: Recall difference - of - squares formula

The difference - of - squares formula is $(a + b)(a - b)=a^{2}-b^{2}$.

Step2: Analyze each option

Option 1: $(5z + 3)(-5z - 3)=-(5z + 3)(5z+3)=-(5z + 3)^{2}$, not a difference of squares.

Option 2: For $(w - 2.5)(w + 2.5)$, here $a = w$ and $b = 2.5$. Using the formula $(a + b)(a - b)=a^{2}-b^{2}$, we get $w^{2}-(2.5)^{2}=w^{2}-6.25$, it is a difference of squares.

Option 3: $(8g + 1)(8g + 1)=(8g + 1)^{2}$, not a difference of squares.

Option 4: For $(-4v - 9)(-4v + 9)$, here $a=-4v$ and $b = 9$. Using the formula $(a + b)(a - b)=a^{2}-b^{2}$, we get $(-4v)^{2}-9^{2}=16v^{2}-81$, it is a difference of squares.

Option 5: $(6y + 7)(7y - 6)$ does not fit the form $(a + b)(a - b)$, not a difference of squares.

Option 6: $(p - 5)(p - 5)=(p - 5)^{2}$, not a difference of squares.

Answer:

B. $(w - 2.5)(w + 2.5)$ D. $(-4v - 9)(-4v + 9)$