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

Solution:

Given expression m² - 6m + 6m - 36

Here, we can easily cancel the terms ‘6m’

Now, we have m² - 36

We can re-write it as the difference of squares: m² - 6²

This is in the form a² - b² = (a + b)(a - b)

Here a = m and b = 6

m² - 6² = (m + 6)(m - 6)

To find factors, we need to equate the expression to zero

m² - 6² = (m + 6)(m - 6) = 0

Therefore, the factors are 6, -6.

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

Summary:

The factors of m² - 6m + 6m - 36 are 6, -6.