(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) =?

Q: (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) =?

Given Expression = (.53)3 - (.42)3- 3 x .58 x .42 x (.58-.42) = a3-b3 -3ab(a - b) = (a - b)3 (where a = .58 and b=.42) = (.58 - .42 )3 = .16 x .16 x .16 = 0.004096

0.004096
1.3976
0.16
1

Correct Answer: 0.004096

Explanation:

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)
= a³-b³ -3ab(a - b)
= (a - b)³
(where a = .58 and b=.42)
= (.58 - .42 )³
= .16 x .16 x .16
= 0.004096

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