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jonny [76]
3 years ago
12

Use the sum of cubes identity to write this polynomial expression in factored form: 8x3 + 27.

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0
The answer is 1989 because that’s how much I know
zvonat [6]3 years ago
3 0

Answer:

{8x}^{3}  + 27 \\   =  {8x}^{3}  +  {3}^{3}  \\ let : 8x \: be \: a \\  : 3 \: be \: b \\  =  >  {a}^{3}  +  {b}^{3}  :  \\  {(a + b)}^{3}  = (a + b)( {a}^{2}  + 2ab +  {b}^{2} ) \\  {(a + b)}^{3}  = ( {a}^{3}  + 3{a}^{2} b + 3a {b}^{2}  +  {b}^{3} ) \\ ( {a}^{3}  +  {b}^{3} ) =  {(a + b)}^{3}  - 3ab(a + b) \\  \therefore( {8x}^{3}  + 27) =  {(8x + 3)}^{3}  - 72(8x + 3)

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If we have to use 6 gallons of gasoline this means that 98%= 6 gallons and 2% would be 6/98*2

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