Question

(0.2)³-(0.3)³+(0.1)³,Without actual calculating the cubes, find the value of it.

Answer 1

Answer:

Step-by-step explanation:

Let 0.2 =a

- 0.3 =b

0.1=c

Here a+b+c =0

Therefore, a cube + b cube + c cube = 3(a into b into c)

Therefore 0.2 cube + (-0.3) cube + 0.1 cube =3(0.2 into - 0.3 into 0.1)=-0.018

Answer 2

(0.2)³ - (0.3)³ + (0.1)³ = - 0.018

Given :

(0.2)³ - (0.3)³ + (0.1)³

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 (0.2) - 0.3 + 0.1

Let a = 0.2 , b = - 0.3 , c = 0.1

Then we have

a + b + c

= 0.2 - 0.3 + 0.1

= 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

(0.2)³ - (0.3)³ + (0.1)³

= (0.2)³ + ( - 0.3)³ + (0.1)³

= a³ + b³ + c³

= 3abc

= 3 × (0.2) × (- 0.3) × (0.1)

= - 0.018

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