Math, asked by avritti, 11 months ago

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

Answers

Answered by MsPRENCY
20

\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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