Question

use the property to evaluate 9^3 -5^3-4^3​

Answer 1

$\boxed {\boxed {Answer : 540}}$

Step-by-step explanation:

We have a property,

If a + b + c = 0

then,

${a}^3 + {b}^3 + {c}^3 = 3abc$

Now,

9 + ( - 5 ) + ( - 4 )

= 4 - 4

= 0

Therefore,

${9}^3 + {(-5)}^3 + {(-4)}^3 = 3 (9)(-5)(-4)$

Solve R.H.S

= 3 ( - 45 × ( - 4 )

= 3 × 180

= 540

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