Question discussion

If f(2, 7) = 57 and f(1, 6) = 37, what is the value of f(3, 10)?

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The function f(a, b) = a3 + b2

⇒ f(2, 7) therefore is = 23 + 72

⇒ 8 + 49 = 57

⇒ f(1, 6) = 13 + 62

⇒ 1 + 36 = 37

⇒ f(3, 10) = 33 + 102 = 27 + 100 = 127

∴ The value is 127