Question

(a+ 1/a)^2 expand it​

Answer 1

Answer:

a^2+1/a^2+2

Step-by-step explanation:

=(a+ 1/a)^2

=a^2+1/a^2+2*a*1/a

=a^2+1/a^2+2

[IDENTITY:(a+b)^2=a^2+2ab+b^2]

Answer 2

Step-by-step explanation:

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

$\implies \textsf{By \ using \ the \ identity,}  \ (a+b)^{2} = a^{2} +b^{2} + 2ab \\\\ \implies (a + \frac{1}{a })^2  = a^{2} + (\frac{1}{a}) ^{2} + (2)(a)(\frac{1}{a}) \\\\ \implies a^{2} + \frac{1}{a^{2} } +2$