if a-b=3 and ab=40, find a2+b2
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Given :-
if a-b=3 and ab=40, find a2+b2
Answer :-
a^2+b^2 = 29 …(1)
a-b = 3
(a-b)^2 = 9 …(2)
a^2–2ab+b^2=9, or
a^2+b^2 -2ab = 9
29–2ab = 9
2ab = 29–9 = 20
so ab = 20/2 = 10. Answer
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Step-by-step explanation:
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