Question

Evalute 105×108 without multiplelying directly

Answer 1

solution.

we can write 105 as a 100+5

And, 108 as a 100+8

Now, (100+5) (100+8)

By applying identity.


= 100^2+ (5+8)100+ 5* 8

= 10000+ 1300+ 40

= 11340.

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Answer 2

Hi ,

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We know that ,

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

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Now ,

105 × 108

= ( 100 + 5 ) ( 100 + 8 )

= 100² + ( 5 + 8 ) × 100 + 5 × 8

= 10000 + 1300 + 40

= 11340

I hope this helps you.

: )