Question

find the value of (55)3-(25)3-(30)3

Answer 1

Hey mate!

Here's your answer!!
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Using the identity,

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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$hope \: it \: helps \: you....$

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