Question

(55-3)(55-6) solve using identities

Answer 1

(55-3)(55-6)
=(50+5-3)(50+5-6)
=(50+2)(50-1)
now use identity
(x-a)(x+b)=x^2+(b-a) x-ab

so, (50+2)(50-1)=
(50)^2+(2-1). 50-2=2548

Answer 2

(55-3)(55-6)
(50+5-3)(50+5-6)
(50+2)(50-1)

Identity 4
x^2+(a-b)x-(ab)

Here, x=50,a=2,b=1
=50^2+(2-1)50-(2×1)
=2500+50-2
=2548



Hope it helped...............