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If-a-lt-b-lt-0-then-a-b-a-b-ab-

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Question Number 182947 by myint last updated on 17/Dec/22
If a< b<0, then ∣a−b∣ + ∣a+b∣ + ∣ab∣=
Ifa<b<0,then∣a−b∣+∣a+b∣+∣ab∣=
Commented by mr W last updated on 17/Dec/22
≠constant value! could be any positive value!
≠constantvalue!couldbeanypositivevalue!
Answered by Frix last updated on 17/Dec/22
a<b<0 ⇒ a−b<0∧a+b<0∧ab>0 ⇒ ∣a−b∣+∣a+b∣+∣ab∣= =−(a−b)−(a+b)+ab= =−2a+ab=a(b−2)
a<b<0⇒a−b<0∧a+b<0∧ab>0⇒∣a−b∣+∣a+b∣+∣ab∣==−(a−b)−(a+b)+ab==−2a+ab=a(b−2)

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