<transcript><audio_12>good handle on where exactly this is coming from and it's really just the same as this here it's a little more obvious in my opinion we have three times the first term squared times the second plus</transcript><transcript><audio_13>three times the first term times the second squared three times the first times the second squared plus the last term squared or the second term sorry not squared cubed so again</transcript><transcript><audio_14>cube the first term three times square the first times the second plus three times the first times square the second plus cube the second and if this had been a minus in the middle then the signs would just</transcript><transcript><audio_15>alternate so plus minus plus minus and that's exactly what we have here in this formula with the x minus a cube formula we have plus minus plus minus and then with the plus all the terms are</transcript><transcript><audio_16>the same i'm going to jump right into the example here since it's the last one let's say we're asked to multiply x minus eight to the third now we could very well do exactly what we did here we could multi write out x</transcript><transcript><audio_17>minus eight x minus eight x minus eight and multiply that out but consider how much shorter this is if we know that formula or we know the recipe of what to do with it cube the first term x cubed</transcript> good handle on where exactly this is coming from and it's really just the same as this here it's a little more obvious in my opinion we have three times the first term squared times the second plus three times the first term times the second squared three times the first times the second squared plus the last term squared or the second term sorry not squared cubed so again cube the first term three times square the first times the second plus three times the first times square the second plus cube the second and if this had been a minus in the middle then the signs would just alternate so plus minus plus minus and that's exactly what we have here in this formula with the x minus a cube formula we have plus minus plus minus and then with the plus all the terms are the same i'm going to jump right into the example here since it's the last one let's say we're asked to multiply x minus eight to the third now we could very well do exactly what we did here we could multi write out x minus eight x minus eight x minus eight and multiply that out but consider how much shorter this is if we know that formula or we know the recipe of what to do with it cube the first term x cubed
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