Simplify (x² + 7x + 6)/(x + 1)
Worked out line by line the way a teacher would write it.
Answer
| Simplified form | x + 6 |
Step-by-step solution
3 steps-
1 Given\frac{x^{2} + 7 x + 6}{x + 1}
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2 Factor the numerator and the denominator\frac{\left(x + 1\right) \left(x + 6\right)}{x + 1}
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3 Cancel the common factor x + 1
A factor shared by the numerator and the denominator cancels: (A·x + 1)/(B·x + 1) = A/B. Only factors cancel, never single terms of a sum, and values that make the cancelled factor 0 stay excluded.
x + 6Valid for x ≠ -1.
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