6. (a) If a^3+ b^3 = 9 and a +b = 3, find ab.
Answers
Answered by
5
Step-by-step explanation:
Given that :
a^3+b^3=9 and a+b=3
We know that
(a+b) ^3 =a^3+b^3+2ab
Subsitute the given equations in the above following
(3)^3=9+2ab
27=9+2ab
2ab=18
ab=9
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Answered by
1
(a+b)^3 = a^3 + b^3 + 3ab(a+b)
(3)^3 = 9+ 3ab ( 3)
9+3ab (3) = 27
3ab (3) = 27 - 9
3ab = 18/3
3ab = 6
ab = 2
this is the correct answer
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