Question

evaluate the following using suitable identity 213 in 187​

Answer 1

We have , 213 × 187

• 213 = 200 + 13 ----- ( 1 )
• 187 = 200 - 13 ----- ( 2 )

[From 1 and 2 ]

( 200 + 13 )( 200 - 13 )

We can observe that it is in the form of the identity ( a + b ) ( a - b ) = a² - b²

Here , a = 200 and b = 13

$\implies \sf{(200 + 13)(200 - 13)}$

$\implies \sf{ {(200)}^{2} - {(13)}^{2} }$

$\sf \implies{40000 - 169}$

$\sf \implies{39,831}$

Therefore , 213 × 187 = 39831

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Answer 2

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➡ 213 × 187 = 39,831

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GIVEN :

213 × 187

SOLUTION :

We have,

213×187

• 213 = 200 + 13........(i)
• 187 = 200 - 13 ........(ii)

From equation first and second

$(200 + 13)(200 - 13)$

FROM IDENTITY (a+b) (a-b) = a² - b²

We get,

➾ (200)² - (13)²

➾ 40000 - 169

➾ 39,831 .

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