Difference of Two Cubes | MathHelp.com - By MathHelp.com
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| 00:0-1 | In this example we're asked to factor x cubed -8 | |
| 00:05 | . Notice that X cubed is a perfect cube and | |
| 00:10 | eight is a perfect cube because eight is two times | |
| 00:14 | two times two or two cubed . So we have | |
| 00:18 | the difference of two cubes . To factor the difference | |
| 00:23 | of two Cubes , we use the following formula A | |
| 00:27 | cubed minus B cubed can be factored as Prince sees | |
| 00:33 | a minus B times . Prince sees a squared plus | |
| 00:37 | a B plus B squared . And in this problem | |
| 00:41 | , since a cubed is represented by X cubed , | |
| 00:46 | the value of A is X . and since be | |
| 00:50 | cubed is represented by eight , the value of B | |
| 00:55 | is too . So plugging X and two into the | |
| 00:59 | formula for A&B . We have bracket X -2 Close | |
| 01:06 | Bracket times bracket X squared plus X times two plus | |
| 01:14 | two squared close bracket . Notice that we changed the | |
| 01:19 | parentheses in the Formula two brackets so that we're not | |
| 01:23 | dealing with too many sets of parentheses . Next simplifying | |
| 01:28 | inside the second set of brackets and changing the brackets | |
| 01:32 | back to parentheses . We have parentheses X -2 times | |
| 01:37 | , princes X squared plus two X plus four , | |
| 01:42 | which is our final answer . |
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