Question

evaluate the following using suitable identites (99)3

Answer 1

Answer:

970299

Step-by-step explanation:

(a-b)^3 = a^3-b^3- (3a^2b)+ (3ab^2)

= (100-1)^3 = 100^3 -  1^3  -3 (100)^2(1)  +3(100)(1)^2

                   = 1000000 - 1 - 3(10000) + 3*100

                   = 1000000 - 1 - 30000 + 300

                   = 999999 - 30000 + 300

                   = 969999 + 300

                   = 970299