1.

(-10)³+(7)³+(3)³ ,Without actual calculating the cubes, find the value of it.

Answer»

Solution :

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We KNOW that ,

If x + y + Z = 0 , then

x³ + y³ + z³ = 3XYZ

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Here,

x = (-10 ) , y = 7 , z = 3 ,

Now ,

x + y + z

= -10 + 7 + 3

= 0

Therefore ,

( -10 )³ + 7³ + 3³

= 3xyz

= 3× ( -10 ) × 7 × 3

= - 630

Therefore ,

The VALUE of ( -10 )³ + 7³ + 3³

= - 630

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