1.

If a-b 0.9 and ab - 0-36; find:(ii) a2-b2

Answer»

Given a - b = 0.9ab = 0.36

(1) (a - b)^2 = a^2 + b^2 - 2ab0.9*0.9 = a^2 + b^2 - 2*.36a^2 + b^2 =.72 +. 81a^2 + b^2 = 1.53

(a + b)^2 = a^2 + b^2 + 2ab(a + b)^2 = 1.53 + 2*.36(a + b)^2 = 1.53 +.72(a + b)^2 = 2.25(a + b) = 1.5

(2) a^2 - b^2 = (a + b)(a - b) = 1.5*0.9 = 1.35

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