Question

Evaluate 48^3 _30^3_18_3

Answer 1

Answer:

77760

Step-by-step explanation:

We know that x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx). 

If x + y + z = 0, then x3 + y3 + z3 – 3xyz = 0 or x3 + y3 + z3 = 3xyz. 

We have to find the value of 

483 – 303 – 183 = 483 + (–30)3 + (–18)3 .

Here, 48 + (–30) + (–18) = 0 

So, 483 + (–30)3 + (–18)3 

= 3 × 48 × (–30) × (–18)

= 77760