If a + b = 9 and a b=18
find : I
) a-b
ii) a²-b
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Answer:
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Step-by-step explanation:
a + b = 9
SOBS
(a + b)^2 = 81
a^2 + b^2 +2ab =81
a^2 + b^2 + 36 = 81
a^2 + b^2 = 45
(a - b)^2 = a^2 + b^2 -2ab
(a - b)^2 = 45 - 36
(a - b)^2 = 9
(a - b) = 3
a^2 - b^2 = (a + b)(a - b) = 9*3 = 27
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