Question

ALGEBRAIC IDENTITIES
If a + b = 10 and ab = 16, find the value of a^2 - ab + B and a^2 + ab + B^2?
​

Answer 1

Answer:

(a + b)² = 10² = a² + 2ab + b²

=> 100 = a² + 2×16 + b²

=> 100 = a² + 32 + b²

=> a² + b² = 68

now, a² + ab + b² = a² + b² + ab

=> 68 + 16 => 84 answer 1

a² - ab + b² = a² + b² - ab

=> 68 - 16 => 52 answer 2