Question

If 3+5-8=0, then find the value of 3 cubed + 5 cubed - 8 cubed

Answer 1

Heya !!!

This is your answer.

Given :
3 + 5 + (-8) = 0.

Then,
3³ + 5³ + (-8)³ = ?

Using, identity...
If a+b+c=0, then a³ + b ³ + c³ = 3abc

Let a = 3, b = 5 and c = -8.

Here, a + b + c = 3 + 5 + (-8) = 0.

Then, a³ + b³ + c³ = 3³ + 5³ + (-8)³
= 3× 3 × 5 × -8
= 9 × -40
= -360


Hope It Helps

Answer 2

3³ + 5³ - 8³ = - 360

Given :

3 + 5 - 8 = 0

To find :

The value of the expression 3³ + 5³ - 8³

Formula :

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

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that 3 + 5 - 8 = 0

Let a = 3 , b = 5 , c = - 8

Then we have

a + b + c

= 3 + 5 + ( - 8 )

= 3 + 5 - 8

= 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

3³ + 5³ - 8³

= 3³ + 5³ + (- 8)³

= a³ + b³ + c³

= 3abc

= 3 × 3 × 5 × ( - 8 )

= - 360

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