Question

If a/b+b/a=1,(ais not equal to0, bus not equal to0) then what is the value of a3+ b3?​

Answer 1

Answer:

$\frac{a}{b} + \frac{b}{a} = 1$

$\frac{ {a}^{2} + {b}^{2} }{ab} = 1$

${a}^{2} + {b}^{2} = ab$

${a}^{2} - ab + {b}^{2} = 0$

now,

${a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} ) = (a + b) \times 0 = 0 \: \: \: ans.$

Answer 2

Answer:

=>a/b + b/a = 1

=>a²+b²/ab=1

=>a²+b²=ab

=>a²-ab+b²= 0......(1)

a³+b³

= (a+b)(a²-ab+b²)

putting the value of eq. (1)

=(a+b)(0)

=0

ans.

Step-by-step explanation:

mark as brainliest ⭐⭐⭐