Factors of 49p2−36 are:
(7p - 6) (7p + 6)
(7p - 6) (7p - 6)
The expression 49p2−36 can be written as
(7p)2−62....(i)
Comparing (i) with the identity a2−b2=(a+b)(a−b), we get
a2=(7p)2⇒a=7p
b2=62⇒b=6
⇒49p2−36=(7p)2−(6)2=(7p−6)(7p+6)
Therefore, the factors of 49p2−36 are (7p+6) and (7p−6).
This cannot be factorised into any further factors.