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Mathematics: Unlocking Newton's Sums Challenge!

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10 Questions

Popular Questions In Mathematics: Unlocking Newton's Sums Challenge!

  • If x + y = 5 and x² + y² = 13, what is the value of x³ + y³?
  • Given that x + y = a and x² + y² = b, what is the expression for x³ + y³ in terms of a and b?
  • If x + y + z = 6, x² + y² + z² = 14, and x³ + y³ + z³ = 36, what is the value of xyz?
  • Let x and y be real numbers such that x + y = 4 and x³ + y³ = 34. What is the value of x² + y²?
  • Given p + q = 7 and p³ + q³ = 133, find the value of pq.
  • If a + b = 10 and a² + b² = 58, what is the value of a⁴ + b⁴?
  • If x + y = -1 and x² + y² = 13, then what is x⁴ + y⁴?
  • Given a + b + c = 8, a² + b² + c² = 22, and a³ + b³ + c³ = 56, find abc.
  • Let a and b be two numbers such that a + b = 6 and a⁴ + b⁴ = 272. What is the value of a² + b²?
  • If x+y+z = 5, x²+y²+z² = 15, then what is the value of (x³+y³+z³-3xyz)?