Question

without actually calculating the cube , find the value of 48^3-30^3-18^plese help me

Answer 1

(48)³-(30)³-(18)³=110592-27000-5932
=110592-32932
=77660

Answer 2

Hi ,
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We know that ,

If x + y + z = 0,

then

x³ + y³ + z³ = 3xyz

***********"**"*****************

Here ,

x = 48 ,

y = -30 ,

z = -18 ,

x + y + z = 48 -30 - 18 = 0

Then ,

x³ + y³ + z³

= ( 48 )³ + ( - 30 )³ + ( - 18 )³

= 3 × 48 × ( - 30 ) × ( - 18 )

= 77760

I hope this helps you.

: )