Factorise-

(p+q)²- 20(p+q) -125

Let (p+q) be x

now, we have x²-20x-125 [By middle term splitting]

x²-25x+5x-125

x(x-25)+5(x-25)

(x-25)(x+5)

now putting the value of x

(p+q-25)(p+q+5) - Ans