Simplify (x² − 9)/(x − 3)
Worked out line by line the way a teacher would write it.
Answer
| Simplified form | x + 3 |
Step-by-step solution
3 steps-
1 Given\frac{x^{2} - 9}{x - 3}
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2 Factor the numerator and the denominator\frac{\left(x - 3\right) \left(x + 3\right)}{x - 3}
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3 Cancel the common factor x - 3
A factor shared by the numerator and the denominator cancels: (A·x - 3)/(B·x - 3) = A/B. Only factors cancel, never single terms of a sum, and values that make the cancelled factor 0 stay excluded.
x + 3Valid for x ≠ 3.
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