Question

Evaluate the following using the suitable identity; (-25)^3+(10)^3+(15)^3

Answer 1

A^3 + B^3 + C^3 = 3ABC IF A + B + C = 0
As we see that (-25) + 10 + 15 = 0
Hence (-25)^3+(10)^3+(15)^3 = 3 × (-25) × 10 × 15 = -75 × 150 = -11250

Answer 2

Hi ,

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We know that ,

If a + b + c = 0 then

a³ + b³ + c³ = 3abc

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Here ,

a = -25 , b = 10 , c = 15

Now ,

a + b + c = -25 + 10 + 15 = 0

Therefore ,

a³ + b³ + c³

= ( -25 )³ + ( 10 )³ + ( 15 )³

= 3abc

= 3 × ( -25 ) × 10 × 15

= - 11250

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