Question

which of the following must be true for and expression to be a difference of two squares?
a. both coefficients are perfect squares
b. there are only two terms
c. both terms have negative coefficients

Answer 1

so let us take an expression(e) which is a difference of two squares.
e=a^2−b^2

so here a and b are 2 variables.
A:2 is even, so both the variable are raised to even power.
B: There are only two terms because it's a difference of two squares.
C: both terms may or may not have -ve coefficients because square of -ve as well as a +ve number is always +ve.