Question

Evaluate 106 x 107 using suitable identity.

Answer 1

Answer:

11342

Step-by-step explanation:

106×107

= (100+6) (100+7)

=(100)²+(6+7)100+ (6×7)

Using the identity (x+a)(x+b)=x²+(a+b)x+ab

= 10000+700+600+42

= 11300+42

= 11342

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Answer 2

$Given \: 106 \times 107$

$= (100+6)(100+7)$

/* By algebraic identity */

$\boxed{\pink{ (x+a)(x+b) = x^{2} + (a+b)x + ab }}$

$Here, x = 100 , a = 6 \: and \: b = 7$

$= 100^{2} + ( 6+7)\times 100 + 6 \times 7$

$= 10000 + 1300 + 42$

$= 11342$

Therefore.,

$\red{ 106 \times 107}\green { = 11342}$

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