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

Answer:

The option is D

$(n+4)^{2} - n^{2} = 8(n + 2)$

Step-by-step explanation:

Given

$(n+4)^{2} - n^{2} = 8(n + 2)$

put $n=1$ we get

$(1+4)^{2}- 1^{2}= 8(1+2)\\5^{2}- 1^{2}= 8\times 3 = 24$

Similarly,

put $n=2$ we get

$(2+4)^{2}- 2^{2} = 8(2+2)\\6^{2}- 2^{2}= 8\times 4 = 32$

put $n=4$ we get

$(4+4)^{2}- 4^{2} = 8(4+2)\\8^{2}- 4^{2} = 8\times 6 = 48$