Simplify (2x + 4)/(x² − 4)
Worked out line by line the way a teacher would write it.
Answer
| Simplified form | 2/(x − 2) |
Step-by-step solution
3 steps-
1 Given\frac{2 x + 4}{x^{2} - 4}
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2 Factor the numerator and the denominator\frac{2 \left(x + 2\right)}{\left(x - 2\right) \left(x + 2\right)}
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3 Cancel the common factor x + 2
A factor shared by the numerator and the denominator cancels: (A·x + 2)/(B·x + 2) = A/B. Only factors cancel, never single terms of a sum, and values that make the cancelled factor 0 stay excluded.
\frac{2}{x - 2}Valid for x ≠ -2, x ≠ 2.
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