14. Without actual calculating the cubes, find the value of each of the following
(1) (-10)3 + (7)3 + (3)3
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Answered by
4
Answer:
We know that ,
If x + y + z = 0 , then
x³ + y³ + z³ = 3xyz
Here,
x = (-10 ) , y = 7 , z = 3 ,
Now ,
x + y + z
= -10 + 7 + 3
= 0
Therefore ,
( -10 )³ + 7³ + 3³
= 3xyz
= 3× ( -10 ) × 7 × 3
= - 630
Therefore ,
The value of ( -10 )³ + 7³ + 3³
= - 630
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