Solution 3.4:1a
From Förberedande kurs i matematik 2
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| - | + | The numerator can be factorized using the conjugate rule to give | |
| - | < | + | <math>x^{2}-1=\left( x+1 \right)\left( x-1 \right)</math> |
| - | {{ | + | and then we see that the numerator and denominator have a common factor which we can eliminate |
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| + | <math>\frac{x^{2}-1}{x-1}=\frac{\left( x+1 \right)\left( x-1 \right)}{x-1}=x+1</math> | ||
Revision as of 12:30, 26 October 2008
The numerator can be factorized using the conjugate rule to give \displaystyle x^{2}-1=\left( x+1 \right)\left( x-1 \right) and then we see that the numerator and denominator have a common factor which we can eliminate
\displaystyle \frac{x^{2}-1}{x-1}=\frac{\left( x+1 \right)\left( x-1 \right)}{x-1}=x+1
