if a<b<0 and (√( a^4 +2a^2 b^2 +b^4 )) +(√(a^4 −2a^2 b^2 +b^4 )) = ?


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Question Number 200729 by mnjuly1970 last updated on 22/Nov/23

$i f a < b < 0$ $a n d \sqrt{a^{4} + 2 a^{2} b^{2} + b^{4}} + \sqrt{a^{4} - 2 a^{2} b^{2} + b^{4}} = ?$
	Answered by deleteduser1 last updated on 22/Nov/23

	$\sqrt{{(a^{2} + b^{2})}^{2}} + \sqrt{{(a^{2} - b^{2})}^{2}} =∣ a^{2} + b^{2} ∣ + ∣ a^{2} - b^{2} ∣$ $= a^{2} + b^{2} + (a^{2} - b^{2}) = 2 a^{2}$
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