Question

find the following by using suitable identity
(p^2 - 16)(p^2 - 1/4)​

Answer 1

(Ρ²- 16) (P²- ¼)

Using

(x+a)(x+b)= x²+(a+b)x +ab

= [(Ρ²)² +P²(-16-¼) +(-16)(-¼)

= P⁴ - 65/4P² + 4