Express (x 2 - 5x + 7) (x2 + 5x - 7) as a difference of two squares.
Solution :
(x2 - 5x + 7) (x2 + 5x - 7)
= [x2 - (5 x - 7)] [x2 + (5 x - 7)]
= (x2) 2 - (5x - 7)2