Question

evaluate 204 ×206 with suitable identity​

Answer 1

Hey dear❤️

Given - (200 + 4)(200 + 6)

= (200)2 + (4 + 6)200 + (4×6),

where x = 200,a = 4,b = 6 in identity (x + a)(x + b) = x2 + (a + b)x + ab

= 40000 + 2000 + 24

= 42024

Answer 2

Answer:

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