Question

Without actual calculating the cubes, Find the value of (0.2)³ - (0.3)³ + (0.1)³​

Answer 1

Answer:

-0.018.

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Step-by-step explanation:

- 0.018

Answer 2

Answer:

(0.2)³ - (0.3)³ + (0.1)³​ = - 0.018

Step-by-step explanation:

We need to find the value of (0.2)³ - (0.3)³ + (0.1)³​ without actual calculation of cubes.

We know that a³ - b³ = (a - b)(a² + ab + b²)

and a³ + b³ = (a + b)(a² - ab + b²)

Here let us take a = 0.2 and b = 0.3

Therefore, using the formula, we get

(0.2)³ - (0.3)³ = (0.2 - 0.3)(0.2² + 0.2*0.3 + 0.3²)

                      = (-0.1) (0.04 + 0.06 + 0.09)

                      = -0.1 (0.19)

=> (0.2)³ - (0.3)³ + (0.1)³​ = -0.1 (0.19) + (0.1)³​

Taking (0.1) common

=> 0.1 [ -(0.19) + (0.1)²

=> 0.1 [ - 0.19 + 0.01 ]

=> 0.1 ( - 0.18)

=> - 0.018

Therefore, (0.2)³ - (0.3)³ + (0.1)³​ = - 0.018