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Question

Add the rational expression: nn2−4+23n+6

A
1n24[5n2]
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B
5n6n24
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C
5n43n212
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D
15n6n22
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Solution

The correct option is C 5n43n212
nn24+23n+6
= n(n+2)(n2)+23(n+2)

= 1n+2[nn2+23]

= 1n+2[3n+2(n2)3(n2)]

= 5n43(n24)

= 5n43n212

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