Question

evaluate using suitable identities 211×189-106×93

Answer 1

(200+11)×(200-11)-(100+6)×(100-93)
=200(200-11)+11(200-11)-100(100-93)+6(100-93)
=40000-2200+2200-121-10000-9300+600-558
=37800+2079-7000+42
=35721-6958
=28763
by using commutative property

Answer 2

Answer:

$211\times 189-106\times 93=30021$

Step-by-step explanation:

Given : Expression $211\times 189-106\times 93$

To find : Evaluate using suitable identities ?

Solution :

Expression $211\times 189-106\times 93$

First we split the terms,

$=(200+11)\times (200-11)-(100+6)\times 93$

Applying identity the difference of two terms in first two terms,

$(a+b)(a-b)=a^2-b^2$

Applying identity distributive in last two terms,

$(a+b)c=ac+bc$

$=(200)^2-(11)^2-100\times 93+6\times 93$

$=40000-121-9300+558$

$=39879-9858$

$=30021$

Therefore, $211\times 189-106\times 93=30021$