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Question Number 124693 by mathocean1 last updated on 05/Dec/20
Demonstratethat∀a,b∈N∗ifabcannotbesimplified,thena+ba2+ab+b2cannotalsobesimplified.
Answered by MJS_new last updated on 05/Dec/20
abcannotbesimplified⇔a≠bp∧b≠aqa+ba2+ab+b2cannotbesimplified⇔⇔a2+ab+b2a+bcannotbesimplifieda2+ab+b2a+b=a+b2a+b=b+a2a+bb2a+bcannotbesimplifiedifa≠bpa2a+bcannotbesimplifiedifb≠aq
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