Question

find the value of 45^3-25^3-20^3

Answer 1

45³=91125
25³=15625
20³=8000

then your answer is 91125-15625-8000=67500=250²

hope it is helpful

Answer 2

Hi ,

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we know that ,

If a + b + c = 0 then

a³ + b³ + c³ = 3abc

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Now ,

45³ - 25³ - 20³

= 45³ + ( 25 )³ + ( -20 )³

here ,

a = 45 ,

b = -25

c = -20

Therefore ,

a + b + c = 45 - 25 - 20 = 0

45³ + ( -25 )³ + ( -20 )³

= 3 × 45 × ( -25 ) × ( -20 )

= 67500

I hope this helps you.

:)