Math, asked by harmanpreetss4321, 1 year ago

Factorize: a2 + 1/a2 +2​

Answers

Answered by akshaym72sl
2

Answer:

(a + \frac{1}{a})^{2}

Given:

(a^{2}  + \frac{1}{a^{2} }+2)

To Find:

Factorization

Step-by-step explanation:

It is given that,

(a^{2}  + \frac{1}{a^{2} }+2)

Rearrange the terms:

(a^{2}  + 2 + \frac{1}{a^{2} })

middle term can be written as

2 = (a)(\frac{1}{a})

So,  

(a^{2}  + 2(a)(\frac{1}{a})  + \frac{1}{a^{2} })

Now, (a^{2}  + 2ab + b^{2})  = (a +b)^{2}

Therefore,

(a^{2}  + 2(a)(\frac{1}{a})  + \frac{1}{a^{2} }) = (a + \frac{1}{a}) ^{2}

(a^{2}  + \frac{1}{a^{2} }+2) = (a + \frac{1}{a})^{2}

Hence, (a^{2}  + \frac{1}{a^{2} }+2) = (a + \frac{1}{a})^{2}

#SPJ2

Answered by aryanmaltu01
0

Answer : (a+b)^2

hope y'all understand

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