Question

using suitable identify, evaluate the following: 1) 101×102 (2) 97×103

Answer 1

Hello friends!!!

Here is your answer :

( 1 )
$101 \times 102$


$(100 + 1)(100 + 2)$


Using identity :

( x + a) ( x + b) = x² + ( a + b)x + ab


x = 100
a = 1
b = 2


$= > {(100)}^{2} + (1 + 2)100 + (1)(2)$


$= > 10000 + 3(100) + 2$


$= > 10000 + 300 + 2$


$= > 10302$


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( 2)

$97 \times 103$


$(100 - 3)(100 + 3)$


Using identity :

( a - b) ( a + b) = a² - b²


$= > {(100)}^{2} - {(3)}^{2}$



$= > 10000 - 9$


$= > 9991$


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Hope it helps you..

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Answer 2

I hope you have help this answer