The factors of the expression x² – 100 can be found by recognizing that it is a difference of squares. The difference of squares formula is given by:
a² – b² = (a – b)(a + b)
In this case, we can set:
a = x and b = 10 (since 10² = 100)
Applying the difference of squares formula:
x² – 100 = (x – 10)(x + 10)
Thus, the factors of x² – 100 are (x – 10) and (x + 10). This means that when you multiply (x – 10) and (x + 10) together, you will get back the original expression x² – 100. It’s important to note that these factors are what will make the expression equal to zero if you were to set it equal to zero and solve for x.