Question

Which of the following is a difference of perfect squares?

A). x^2+4
B). 9x^2-100
C). x^2-18
D). 4x^2+36

Answer 1

The difference of perfect squares is a special case in algebra where an expression can be factored as the product of two terms in the form (a^2 - b^2), where a and b are real numbers.

Among the given options, the difference of perfect squares is represented by:

D) 4x^2 + 36

This can be factored as:

4x^2 + 36 = (2x)^2 - 6^2

So, the answer is D) 4x^2 + 36.