Question

Find the value of the following by using identities 97× 103

Answer 1

97= (100-3)
103= (100+3)

Identity = (a+b) (a-b) =
${a}^{2} - {b}^{2}$
a= 100
b= 3

answer = 10000-9 = 9991

Answer 2

97×103
= (100-3)×(100+3)
=(100×100)-(3×3)
=10000-9
=9991