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

• A. 0.04096
• B. 0.004096
• C. 0.4096
• D. 4.096

Answer: (B)

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