1. If a + b = 5 and ab = 6, then what is the value of $$a^{3} + b^{3}$$ ?
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By: anil on 05 May 2019 01.46 am
Given : $$ab=6$$ -----------(i) Also, $$a+b=5$$ -----------(ii) Cubing both sides, we get : => $$(a+b)^3=(5)^3$$ => $$a^3+b^3+3ab(a+b)=125$$ Substituting values from equation (i) and (ii) => $$a^3+b^3+3(6)(5)=125$$ => $$a^3+b^3=125-90=35$$ => Ans - (C)
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