Subtracting Rational Expressions | MathHelp.com - By MathHelp.com
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| 00:0-1 | So in this problem , our first step would be | |
| 00:02 | to change the minus X plus two , two plus | |
| 00:08 | a negative X plus negative two . And notice that | |
| 00:13 | to find our common denominator , we must first factor | |
| 00:18 | each of the denominators to get X Over X -8 | |
| 00:25 | times X -5 plus negative x minus two Over X | |
| 00:35 | Times Princes X -8 . So our common denominator is | |
| 00:42 | X -8 times x -5 times x . And since | |
| 00:48 | our first denominator is missing an X . We multiply | |
| 00:51 | top and bottom of this first fraction by X . | |
| 00:57 | Since our second denominator is missing an X -5 . | |
| 01:01 | We multiply top and bottom of our second fraction By | |
| 01:07 | X -5 . Multiply across the numerator . We have | |
| 01:14 | X squared over X times x minus eight times X | |
| 01:22 | minus five . I notice that in the numerator of | |
| 01:25 | our second fraction we have a binomial times of binomial | |
| 01:31 | . So we must foil to get negative X square | |
| 01:39 | Plus five X -2 . X plus 10 over X | |
| 01:51 | times X minus eight times X minus five . Be | |
| 01:57 | very careful when foiling . So adding across the numerator | |
| 02:02 | are x squares cancel , and we have three x | |
| 02:09 | plus 10 Over x times X -8 Times X -5 | |
| 00:0-1 | . |
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