Factor completely [tex]$x^2 - 36$[/tex].

Is this expression prime?

x 2 − 36 = ( x − 6 ) ( x + 6 ) a 2 − b 2 = ( a − b ) ( a + b )

Answered by Lilith | 2024-06-10

No. It's the difference of two squares, and so can be easily factored:
x² - 36 = (x + 6) (x - 6)
Multiply those out and you'll see.

Answered by AL2006 | 2024-06-10

The expression x 2 − 36 can be factored completely as ( x − 6 ) ( x + 6 ) . It is not a prime expression since it can be broken down into these two factors. Both factors are linear and cannot be factored further.
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Answered by Lilith | 2025-06-12