This method is not appropriate because of the mathematical sign separating the terms. It is supposed to be minus not a plus sign
The expression by factoring out the greatest common factor is 4(x^2-9)
Given the expression 4x^2 + 36. According to the difference of two square,
a^2 - b^2 = (a-b)(a+b)
For the expression 4x^2 + 36, this can also be written as:
= (2x)^2 + 6^2
= (2x+6)(2x-6)
This method is not appropriate because of the mathematical sign separating the terms. It is supposed to be minus not a plus sign
Using the factoring method:
4x^2 = 4 * x^2
36 = 4 * 9
Since 4 is common to both of the terms, hence;
4x^2 + 36 = 4(x^2+9)
Hence the expression by factoring out the greatest common factor is 4(x^2-9)
Learn more on GCF and the difference of squares here: https://brainly.com/question/23354973