the diagram represents a difference of squares. what are the factors of m² - 6m + 6m - 36? (m - 2)(m + 18)…

Explanation:

Step1: Combine like - terms

First, combine the middle terms in the expression $m^{2}-6m + 6m-36$. Since $-6m+6m = 0$, the expression simplifies to $m^{2}-36$. $m^{2}-6m + 6m-36=m^{2}-36$

Step2: Apply difference - of - squares formula

The difference - of - squares formula is $a^{2}-b^{2}=(a - b)(a + b)$. In the expression $m^{2}-36$, we have $a = m$ and $b = 6$ because $m^{2}-36=m^{2}-6^{2}$. $m^{2}-6^{2}=(m - 6)(m + 6)$

Answer:

$(m - 6)(m + 6)$