Question

Evaluate by using suitable identities: 196×204​

Answer 1

Step-by-step explanation:

204×206=42024

Step-by-step explanation:

Given : Expression 204\times 206204×206

To find : Evaluate the following by using suitable identities ?

Solution :

Expression 204\times 206204×206 is written as,

204\times 206=(200+4)\times (200+6)204×206=(200+4)×(200+6)

Using identity, a(b+c)=ab+aca(b+c)=ab+ac

204\times 206=200(200+6)+4(200+6)204×206=200(200+6)+4(200+6)

204\times 206=40000+1200+800+24204×206=40000+1200+800+24

204\times 206=42024204×206=42024

Therefore, 204\times 206=42024204×206=42024

#Learn more

By using a suitable identity,evaluate the following:-

1. 206×205

Answer 2

Answer:

39984

Step-by-step explanation:

196 × 204 = (200 - 4) × (200 + 4)

Using the identity : (a + b) × (a - b) = a² - b²

=> 196 × 204 = (200 - 4) × (200 + 4) = (200)² - (4)²

=> 196 × 204 = 40000 - 16

=> 196 × 204 = 39984