Factor x^2 - 9
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The specific expression or equation this page is built around.
x^2 - 9
This is a difference of two squares.
The structure is a^2 - b^2 = (a - b)(a + b).
One structured route through this exact problem.
- 1Recognise x^2 as one square and 9 as 3^2.
- 2Use the pattern a^2 - b^2 = (a - b)(a + b).
- 3So x^2 - 9 factorises to (x - 3)(x + 3).
Use these quick checks before relying on the route.
- Expand (x - 3)(x + 3) to confirm the middle terms cancel.
- Check the final result returns to x^2 - 9 exactly.
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