<transcript><audio_18>minus remember you have to alternate signs whenever the middle term is a minus so minus 3 times square the first term x squared times the second times eight plus three times the first</transcript><transcript><audio_19>x times the square of the second eight squared minus the second cubed eight cubed and then this is now just the arithmetic x cubed comes along</transcript><transcript><audio_20>three times eight is twenty-four so we get negative twenty-four x squared 3 times 8 squared which is 64 is 192 x and then 8 cubed is 512. now</transcript><transcript><audio_21>hopefully you can see that this is in standard form it's all the decreasing powers of x and if you're so inclined i would maybe multiply this out uh quote unquote the long way and see if you do end up getting the same answer i</transcript><transcript><audio_22>think that that needs to be done at least a couple of times so that you can really appreciate how much time and effort</transcript> minus remember you have to alternate signs whenever the middle term is a minus so minus 3 times square the first term x squared times the second times eight plus three times the first x times the square of the second eight squared minus the second cubed eight cubed and then this is now just the arithmetic x cubed comes along three times eight is twenty-four so we get negative twenty-four x squared 3 times 8 squared which is 64 is 192 x and then 8 cubed is 512. now hopefully you can see that this is in standard form it's all the decreasing powers of x and if you're so inclined i would maybe multiply this out uh quote unquote the long way and see if you do end up getting the same answer i think that that needs to be done at least a couple of times so that you can really appreciate how much time and effort
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