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Let-K-be-a-field-and-a-b-K-Show-that-x-a-x-b-if-and-only-if-a-b-

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Question Number 49236 by cesar.marval.larez@gmail.com last updated on 04/Dec/18
Let K be a field and a,b∈K. Show that (x−a)(x−b) if and only if a=b
$${Let}\:{K}\:{be}\:{a}\:{field}\:{and}\:{a},{b}\in{K}.\:{Show}\: \\ $$$${that}\:\left({x}−{a}\right)\left({x}−{b}\right)\:{if}\:{and}\:{only}\:{if}\:{a}={b} \\ $$
Commented by kaivan.ahmadi last updated on 05/Dec/18
(x−a)(x−b)=?
$$\left(\mathrm{x}−\mathrm{a}\right)\left(\mathrm{x}−\mathrm{b}\right)=? \\ $$
Commented by cesar.marval.larez@gmail.com last updated on 05/Dec/18
yes friend
$${yes}\:{friend} \\ $$

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