using suitable identity evaluate -32 cube + 18 cube + 14 cube
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Answer:
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Step-by-step explanation:
evaluate -32 cube + 18 cube + 14 cube
-32 +"18 +14 = 0
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Question:
Evaluate using suitable identity:
- (-32)³ + (18)³ + (14)³
Given:
- (-32)³ + (18)³ + (14)³
To find:
- The value of (-32)³ + (18)³ + (14)³ using suitable identity.
Solution:
Identity:
If a + b + c = 0, then a³ + b³ + c³ = 3abc.
Process:
First of all, (-32) + 18 + 14
= (-32) + 32
= 0
(-32)³ + (18)³ + (14)³ = 3 (-32)(18)(14)
(-32)³ + (18)³ + (14)³ = (-24,192)
Answer:
(-32)³ + (18)³ + (14)³ = ( -24,192)
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