A student is planning on factoring 4x2 + 36 using difference of two squares (DOTS). Explain why this is an inappropriate method for factoring this expression. Then rewrite the expression by factoring out the greatest common factor (GCF).​

Respuesta :

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

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