Question

[Reposting because I never got help]

Is the polynomial a difference of squares? Select Difference of squares or Not a difference of squares for each polynomial.


y^4−25

20m^2n^2−121

p^8−q^5

16x^2−81

Answer 1

Difference of squares:

y^4−25

16x^2−81

Not difference of squares:

20m^2n^2−121

p^8−q^5

Explanation:

y^4−25

(y²)² - 5²

16x^2−81

(4x)² - 9²

20m^2n^2−121

20 is not a perfect square

p^8−q^5

q⁵ is not a perfect square