Question

Determine which polynomial is a difference of two squares.

a2 + 36

a2 − 36

a2 − 12

a2 + 12

Answer 1

Where are you possibly stuck here?

Answer 2

seem to be answering questions with questions
"difference of two squares"
difference means look for a minus sign, as in the difference of 10 and 4 is \(10-4\)
two squares means both terms should be a square

Answer 3

WRONG. Difference of squares in this case is that one square is larger than the other!

Answer 4

evidently \(a^2\) is a square , so the question is which of these numbers, \(12\) and \(36\) is a square, and the answer is 36 because \(36=6^2\)
therefore \(a^2-36\) is the "difference of two squares"

Answer 5

\( \color{Black}{\Rightarrow a^2 + 6^2}\)
\( \color{Black}{\Rightarrow a^2 - 6^2}\)
\( \color{Black}{\Rightarrow a^2 + 2\sqrt3}\)
\( \color{Black}{\Rightarrow a^2 - 2\sqrt3 }\)