If a = 9.6, b = 4.44 and c = 5.16, then the value of a³ - b³ - c³ - 3abc is:

If a = 9.6, b = 4.44 and c = 5.16, then the value of a³…

If a = 9.6, b = 4.44 and c = 5.16, then the value of $a^3 - b^3 - c^3 - 3abc$ is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 0.

a = 9.6, b = 4.44 and c = 5.16

a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)

a³ - b³ - c³ - 3abc = (a - b - c )(a² + b² + c² + ab - bc + ac)

ATQ -

a³ - b³ - c³ - 3abc = (9.6 - 4.44 - 5.16)(9.6² + 4.44² + 5.16² + 9.6 × 4.44 - 4.44 × 5.16 + 9.6 × 5.16)

a³ - b³ - c³- 3abc = (0)(92.16 + 19.71 + 26.63 + 42.62– 22.91 + 49.54) = 0