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#1. If a + b = 10 and ab = 21, find a² + b²
#2. If x – y = 3 and xy = 10, find x² + y² .
#3. If a + b = 7 and a² + b² = 25, find ab.
#4. If x + 1/x = 5, find x² + 1/x².
#5. Evaluate: (x + y)² + (x – y)²
#6. Simplify: (a + b)³ – (a – b)³
#7. Evaluate: (x + y + z)² – (x² + y² + z²)
#8. If a + b + c = 0, then a³ + b³ + c³ =
#9. If x – y = 2 and x² + y² = 10, find xy.
#10. If a = 3, b = 4, find a³ + b³ – 3ab(a + b)
