Question

find 55^3-25^3-30^3 using algebraic formula​

Answer 1

Answer:

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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