Question

Evaluate using suitable identity: (15) 3 − (8) 3 − (7) 3​

Answer 1

Answer:

0

Step-by-step explanation:

45-24-21

=45-45

=0

(15)3-(8)3-(7)3=0

0 is the correct answer

Answer 2

(15)³ - 8³ - 7³ = 2520

Given :

(15)³ - 8³ - 7³

To find :

The value of the expression

Formula :

If a + b + c = 0 then a³ + b³ + c³ = 3abc

Solution :

Step 1 of 2 :

Find the value of 15 - 8 - 7

Let a = 15 , b = - 8 , c = - 7

Then we have

a + b + c

= 15 - 8 - 7

= 0

Step 2 of 2 :

Find the value of the expression

We know that if a + b + c = 0 then a³ + b³ + c³ = 3abc

Thus we get

(15)³ - 8³ - 7³

= a³ + b³ + c³

= 3abc

= 3 × ( 15 ) × ( - 8 ) × ( - 7 )

= 2520

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