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The diagram represents a difference of squares.


What are the factors of m2 – 6m + 6m – 36?

a. (m – 2)(m + 18)
b. (m – 3)(m + 3)
c. (m – 4)(m + 9)
d. (m – 6)(m + 6)

Respuesta :

Ckaranja
The answer is d. 

Explanation:
To start with, classify the first two terms and factor out the common factor. i.e m is a common factor of m2-6m. By factoring it out we get m(m-6).

Follow the same procedure for terms three and four. ie
6 is a common factor of 6m-36. By factoring out, 6(m-6)
Regrouping
m(m-6)+6(m-6)
By factoring out (m-6), we get:
(m-6)(m+6)
calculista

Answer:

Option D [tex](m-6)(m+6)[/tex]

Step-by-step explanation:

we have

[tex]m^{2} -6m+6m-36[/tex]

Simplify

[tex]m^{2} -6m+6m-36=m^{2} -36[/tex]

we know that

In a difference of square

[tex](a^{2}-b^{2})=(a+b)(a-b)[/tex]

Remember that

[tex]36=6^{2}[/tex]

therefore

[tex](m^{2}-6^{2})=(m+6)(m-6)[/tex]

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