Constant underestimation

Algebra Level 1

x2+5(x2+2)2=1x2+2+m(x2+2)2 \large \dfrac{x^{2}+5}{(x^{2}+2)^{2}} = \dfrac{1}{x^{2}+2} + \dfrac{m}{(x^{2}+2)^{2}}

Above shows an algebraic identity for constant mm. Find the value of mm.

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