If a + b + c = 8 and ab +...

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If a + b + c = 8 and ab + bc + ca = 12, then a³ + b³ + c³ - 3abc is equal to:

A. 192

B. 224

C. 144

D. 400

Answer: Option B

Solution (By Examveda Team)

a + b + c = 8 and ab + bc + ca = 12
a³ + b³ + c³ - 3abc = ?
Let c = 0
a + b = 8, ab = 12
a³ + b³ = (a + b)(a² + b² - ab)
a³ + b³ = (a + b)[(a + b)² - 3ab]
a³ + b³ = 8[8² - 3 × 12]
a³ + b³ = 224

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If a + b + c = 8 and ab +...

If a + b + c = 8 and ab + bc + ca = 12, then a3 + b3 + c3 - 3abc is equal to:

Solution (By Examveda Team)

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If a + b + c = 8 and ab + bc + ca = 12, then a³ + b³ + c³ - 3abc is equal to: