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CAN SOMEONE HELP ME IT'S POLYNOMIAL EXPRESSIONS AND I got it done to at least c or d if someone could look at this and double check me asap please ! ​

CAN SOMEONE HELP ME ITS POLYNOMIAL EXPRESSIONS AND I got it done to at least c or d if someone could look at this and double check me asap please class=

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Answer:

The option is D

[tex](n+4)^{2} - n^{2} = 8(n + 2)[/tex]

Step-by-step explanation:

Given

[tex](n+4)^{2} - n^{2} = 8(n + 2)[/tex]

put [tex]n=1[/tex] we get

[tex](1+4)^{2}- 1^{2}= 8(1+2)\\5^{2}- 1^{2}= 8\times 3 = 24[/tex]

Similarly,

put [tex]n=2[/tex] we get

[tex](2+4)^{2}- 2^{2} = 8(2+2)\\6^{2}- 2^{2}= 8\times 4 = 32[/tex]

put [tex]n=4[/tex] we get

[tex](4+4)^{2}- 4^{2} = 8(4+2)\\8^{2}- 4^{2} = 8\times 6 = 48[/tex]

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