Question

if a+b=11,ab=28,find the value of a^3+b^3​

Answer 1

a³ + b³ = (a + b) (a² - ab + b²)

a³ + b³ = 11 . (a² + b² - 28)

a³ + b³ = 11 ((a + b)² - 2ab - 28)

a³ + b³ = 11 (121 - 2 . 28 - 28)

a³ + b³ = 11 . 37

a³ + b³ = 407

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