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Evaluate 105xx106 without multiplying di...

Evaluate `105xx106` without multiplying directly.

Text Solution

Verified by Experts

`105**106 = (100+5)(100+6)`
As, `(x+a)(x+b) = x^2+(a+b)x+b^2`
`(100+5)(100+6) = 100^2+(5+6)**100+5**6`
`10000+1100+30 =11130`
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