Question

If A/B + B/A)=1
Then (A³-B³) =?​

Answer 1

Answer:

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

This is the answer. If a/b + b/a = 1, then (a² + b²)/ab = 1. So, a³ + b³ = 0.

Answer 2

Answer:

0

Step-by-step explanation:

I think the right questions should be

If A/B+B/A= -1

then A³-B³=?

in that case

Given A/B+B/A = - 1

(A²+B²)/AB =-1

A²+B²=-AB........(i)

now,

A³-B³ = (A-B)(A²+AB+B²)

= (A-B)(-AB+AB). (FROM i)

=0