Question

a^2+1/a^2+2 (factorise) (pls answer it is urgent thanks)

Answer 1

${a}^{2} + \frac{1}{ {a}^{2} } + 2 \\ {a}^{2} + \frac{1}{ {a}^{2} } = - 2 \\ by \: taking \: lcm \\ \frac{( {a}^{2} )( {a}^{2}) + 1 }{ {a}^{2} } = - 2 \\ \frac{ {a}^{4} + 1 }{ {a}^{2} } = - 2 \\ by \: cross \: multiplication \\ {a}^{4} + 1 = - 2 {a}^{2} \\ rearranging \: the \: terms \\ {a}^{4} + 2 {a}^{2} + 1 = 0 \\ take \: {a}^{2} \: as \: common \\ {a}^{2} ( {a}^{2} + 2) + 1 = 0 \\ ({a}^{2} + 2) + 1 = \frac{0}{ {a}^{2} } \\ {a}^{2} + 2 + 1 = 0 \\ {a}^{2} + 3 = 0 \\ {a}^{2} = - 3 \\ a = + \: or \: - \sqrt{ - 3} \\ a = \sqrt{ - 3} \\ also \\ a = - \sqrt{ - 3}$

Hope this helps you mate......

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Answer 2

I prefer attachment..❣️..