Question

Why is a÷b+b÷a= a^2+b^2/ab​

Answer 1

Answer:

Step-by-step explanation:

To know the whole story of squaring a binomial, let's start from basics.

(a + b)² = (a + b)×(a + b)

=> (a + b)² = a×(a + b) + b×(a + b)

=> (a + b)² = a² + ab + ba + b²

=> (a + b)² = a² + 2ab + b²

Using binomial theorem:

(a + b)ⁿ = C(n,0)aⁿb° + C(n,1)aⁿ–¹.b¹ + C(n,2)aⁿ–².b²+ ……………….. + C(n,n)a°bⁿ

Thus, (a + b)² = C(2,0)a².b° + C(2,1)a¹.b¹ + C(2,2)a°.b²

=> (a + b)² = 1.a².1 + 2.a.b + 1.1.b²

=> (a + b)² = a² + 2ab + b²

Answer 2

a/b+b/a=a^2+b^2/a

a²+b²=a³b+b³

......................b^2/Ab(not possible) so divide by only a not Ab

hope it helps u