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What is the value of (−22)−[(−23)−(−17)−(−61)](−22)−[(−23)−(−17)−(−61)]
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Given:
(−22)−[(−23)−(−17)−(−61)](−22)−[(−23)−(−17)−(−61)]
To find:
The value of (−22)−[(−23)−(−17)−(−61)](−22)−[(−23)−(−17)−(−61)]
Solution:
From given, we have,
(−22) − [(−23) − (−17) − (−61)] (−22) − [(−23) − (−17) − (−61)]
keep on simplifying the brackets one by one.
= (−22) − [−23 + 17 − (−61)] (−22) − [(−23) − (−17) − (−61)]
= (−22) − [−23 + 17 + 61] (−22) − [(−23) − (−17) − (−61)]
= (−22) − [−23 + 17 + 61] (−22) − [−23 +17 − (−61)]
= (−22) − [−23 + 17 + 61] (−22) − [−23 +17 + 61]
= (−22) − [55] (−22) − [55]
= [-22 - 55] [-22 - 55]
= (-77) (-77)
= 5929
Therefore, the value of (−22) − [(−23) − (−17) − (−61)] (−22) − [(−23) − (−17) − (−61)] is 5929
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