Name: Difference of Two Cubes | MathHelp.com | 视频 | 干净世界
Uploaded: 2023-12-10T16:05:00.129Z
Duration: 1 min 45 s
Description: Need a custom math course? Visit https://www.MathHelp.com Today! In this example, we’re asked to factor x cubed – 8. Notice that x cubed is a perfect cube, an... | 视频 | 干净世界

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In this example, we’re asked to factor x cubed – 8.  Notice that x cubed is a perfect cube, and 8 is a perfect cube, because 8 is 2 times 2 times 2, or 2 cubed.  So we have the difference of two cubes.   To factor the difference of two cubes, we use the following formula: a cubed – b cubed can be factored as parentheses a – b times parentheses a squared + ab + b squared.  And in this problem, since “a” cubed is represented by x cubed, the value of a is x, and since b cubed is represented by 8, the value of b is 2.  So, plugging x and 2 into the formula for a and b, we have parentheses x – 2 times parentheses x squared + x times 2 + 2 squared.  And simplifying inside the second set of parentheses, we have parentheses x – 2 times parentheses x squared + 2x + 4, which is our final answer.