Question

evaluate the following products without multiplying directly 95*96

Answer 1

(90+5)(90+6)
90*90+90*6+90*5+30
8100+540+450+30
8100+990+30
8100+1020
9120

Answer 2

(90+5) (90+6) by applying the identity (x+a)(x+b) = x^2 +(a+b)x+(a)(b).
ATQ
90×90 +(5+6)90 + (5)(6)
8100+990 + 30
9090+30
9120.