Question

Evaluate: (0.2)3 – (0.3)3 + (0.1)3 without actually calculating the cubes.

Answer 1

The value of (0.2)³ - (0.3)³ + (0.1)³ is -0.018

Step-by-step explanation:

We know that

a³ + b³ + c³ = (a + b + c)³ - 3(a + b)(b + c)(c + a)

(0.2)³- (0.3)³ + (0.1)³

= (0.2)³ + (-0.3)³ + (0.1)³

= (0.2 - 0.3 + 0.1)³ - 3(0.2 - 0.3)(-0.3 + 0.1)(0.1 + 0.2)

= (0)³- 3(-0.1)(-0.2)(0.3)

= 0 - 0.018

= -0.018

Hence, the value of (0.2)³ - (0.3)³ + (0.1)³ is -0.018