Question

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 ! ​

Answer 1

The option is D

`(n+4)^(2) - n^(2) = 8(n + 2)`

Explanation:

Given

`(n+4)^(2) - n^(2) = 8(n + 2)`

put
`n=1` we get

`(1+4)^(2)- 1^(2)= 8(1+2)\\5^(2)- 1^(2)= 8* 3 = 24`

Similarly,

put
`n=2` we get

`(2+4)^(2)- 2^(2) = 8(2+2)\\6^(2)- 2^(2)= 8* 4 = 32`

put
`n=4` we get

`(4+4)^(2)- 4^(2) = 8(4+2)\\8^(2)- 4^(2) = 8* 6 = 48`