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Using (x + a) (x + b) = x^2 + (a+b) x +...

Using `(x + a) (x + b) = x^2 + (a+b) x + ab`, find
(i) `103 xx 104`
(ii) `51 xx 52`
(iii) `103 xx 98`
(iv) `97 xx 98`

Text Solution

Verified by Experts

Using` (x+a)(x+b)=x^2+(a+b)x+ab`
`(i) 103×104 `
`=(100+3)(100+4)`
`=100^2+100**(3+4)+3×4`
`=10000+7**100+12`
`=10000+700+12`
`=10712`
`(ii) 51×52`
...
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