Explicación paso a paso:
[tex]n = \frac{ {( {x}^{2} +2y)}^{2} - ( { {x}^{2} - 2y) }^{2} }{4y} \\ \frac{( {x}^{4 } +4 {x}^{2} y + 4 {y}^{2} - ( {x}^{4} - 4 {x}^{2}y + 4 {y}^{2} ) }{4y} \\ n = \frac{ {x}^{4} +4 {x}^{2} y + 4 {y}^{2} - {x}^{4} + 4 {x}^{2}y - 4 {y}^{2} }{4y} \\ n = \frac{8x2y}{4y} \\ n = 2x2
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Explicación paso a paso:
[tex]n = \frac{ {( {x}^{2} +2y)}^{2} - ( { {x}^{2} - 2y) }^{2} }{4y} \\ \frac{( {x}^{4 } +4 {x}^{2} y + 4 {y}^{2} - ( {x}^{4} - 4 {x}^{2}y + 4 {y}^{2} ) }{4y} \\ n = \frac{ {x}^{4} +4 {x}^{2} y + 4 {y}^{2} - {x}^{4} + 4 {x}^{2}y - 4 {y}^{2} }{4y} \\ n = \frac{8x2y}{4y} \\ n = 2x2