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

y^4-144

5m^2n^2-25

16x2-49

p^2-q^4

y^4 - 144 = Difference of squares

5m^2n^2 - 25 = Not a difference of squares

16x2 - 49 = Difference of squares

p^2 - q^4 = Difference of squares

Difference of squares are terms of the form

(a^2 - b^2) = (a+b) (a-b)

Case a

y^4-144 = (y^2 - 12) (y^2 + 12) = (a-b) (a+b)

Difference of squares

Case b

5m^2n^2-25 = 5 (m^2 n^2 - 5) ≠ (a+b) (a-b)

Not a difference of squares

Case c

16x2-49 = (4 x - 7) (4 x + 7) = (a-b) (a+b)

Difference of squares

Case d

p^2-q^4 = (p - q^2) (p + q^2) = (a-b) (a+b)

Difference of squares