If a/b + b/a = 1, (a is not equal to 0, b is not equal to 0), then the value of a power 3 - b power 3 is
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Given, a/b +b/a = 1
=(a^2 + b^2)/ab=1
=a^2 + b^2 = ab-----(1)
Then a^3+ b^3 = (a+b)(a^2
+b^2-ab)
=(a+b)(ab-ab)-----(from 1)
=0
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Answer:
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Step-by-step explanation:
Correct option is
D0ba + ab =1
aba 2 +b 2 =1
a 2 +b 2 −ab=0
Now, a 3 +b 3
= (a+b)(a 2 +b 2 −ab)a 3+b 3
=(a+b)×0=0_____❣️
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