What is a difference of squares that has a factor of x+8? Question What is a difference of squares that has a factor of x+8? in progress 0 Math Arya 5 hours 2021-11-25T19:20:55+00:00 2021-11-25T19:20:55+00:00 2 Answers 0 views 0

## Answers ( )

Answer:

x^2 – 64

Step-by-step explanation:

A difference of squares is a special product in the form (a^2 – b^2)..their factored form is (a – b)(a + b)..

Thus here a = x and b = 8, thus if x + 8 is a factor, then x – 8 is also a factor..

(x + 8)(x – 8) <– expand this out using difference of squares rules..

= (x)^2 – (8)^2

= x^2 – 64 <– answer…

You could also expand that using FOIL (FOIL – first, outer, inner, last)..

(x + 8)(x – 8)

= (x)(x) + (x)(-8) + (8)(x) + (8)(-8)

= x^2 – 8x + 8x – 64 <– the -8x and 8x cancels out..leaving you with..

= x^2 – 64

Answer:its c

Step-by-step explanation:did it on edgunity