Q13.Using a suitable identity to evaluate (55) 3 - (25) 3 -(30) 3
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4
Answer:
Therefore, 55³+(-25)³+(-30)³ = 123750
Step-by-step Explanation :
If a+b+c = 0, then a³+b³+c³-3abc = 0
Let a = 55, b = -25, c = 30
a + b + c
= 55 + (-25) + (-30)
= 55 - 25 - 30
= 0
Thus, a + b + c = 0
Hence,
a³ + b³ + c³ - 3abc = 0
a³ + b³ + c³ = 3abc
55³ + (-25)³ + (-30)³
= 3 × 55 × (-25) × (-30)
= 123750
Therefore, 55³+(-25)³+(-30)³ = 123750
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