Answer:
Option 2 [tex](w-2.5)(w+2.5)=w^2-2.5^2\\[/tex] and option 4 [tex](-4v-9)(-4v+9)=-(4v+9)(-)(4v-9)=4v^2-9^2[/tex]
Explanation:
In option 1 [tex](5z+3)(-5z-3)=-(5z+3)(5z+3)=-(5z+3)^2[/tex] which is not the difference of squares
In option 2 [tex](w-2.5)(w+2.5)=w^2-2.5^2\\[/tex] using the formula
[tex](a+b)(a-b)=a^2-b^2\\Here \\a=w,b=2.5[/tex]
Clearly, the difference of squares
In option 3[tex](8g+1)(8g+1)=(8g+1)^2[/tex] not the difference of squares
In option 4[tex](-4v-9)(-4v+9)=-(4v+9)(-)(4v-9)=4v^2-9^2[/tex]
Clearly the difference of squares
In option 5 [tex](6y+7)(7y-6)=42y^2+13y-42[/tex] not the difference of squares
In option 6 [tex](p-5)(p-5)=(p-5)^2[/tex] not the difference of squares
