Question

109×108 evaluate the number by using suitable identity

Answer 1

109×108
(100+9)(100+8)
(x+a)(x+b) =x square+(a+b)x+ab
(100+9)(100+8)=100×100+(9+8)×100+9×8
= 10000+1700+72
11772

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Answer 2

Hello friends!!

Here is your answer :

109 × 108

( 100 + 9 ) × ( 100 + 8 )

Using identity,

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


➡️ ( 100 )² + ( 9 + 8 ) 100 + 9 × 8

➡️ 10000 + 17 × 100 + 72

➡️ 10000 + 1700 + 72

➡️ 11772

Therefore,

109 × 108 = 11772


Hope it helps you

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