Question

If a + b = 7 and ab = 12, find the value of a² – b²

Answer 1

Hey,
(a + b) ^2 - (a - b) ^2 = 4ab

(7)^2 - a^2 - b^2 + 2ab = 4ab

49 - a^2 - b^2 = 24

a^2 - b^2 = 25 .

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