Math, asked by abhinavnair186, 11 months ago

If a/b+b/a=1,then a3-b3=

Answers

Answered by Techharsh
2

Answer: 0

Step-by-step explanation:A/b + b/a = 1

=> making denominator equal

=> (a²+b²)/ab = 1

=> a²+b² = ab

we know that , a³+b³ = (a+b)(a²+b²-ab)

=> a³+b³= (a+b)(ab-ab)

(as , a²+b² = ab)

=> a³+ b³ = (a+b)(0) = 0

the answer is 0

hope this helps

Answered by giriaishik123
0

Answer: 0

Step-by-step explanation:A/b + b/a = 1

=> making denominator equal

=> (a²+b²)/ab = 1

=> a²+b² = ab

we know that , a³+b³ = (a+b)(a²+b²-ab)

=> a³+b³= (a+b)(ab-ab)

(as , a²+b² = ab)

=> a³+ b³ = (a+b)(0) = 0

the answer is 0

hope this helps

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