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aalyn [17]
3 years ago
5

I ll give BRAINLIEST!!! (x²-1)³ with Identities how much it is and also explain plzzzz​

History
1 answer:
uranmaximum [27]3 years ago
3 0

Explanation:

{ {(x}^{2} - 1)}^{3}  \\ from \: difference \: of \: squares \\  ( {a}^{2}  -  {b}^{2} ) = (a - b)(a + b) \\ hence \:  { {(x}^{2} - 1)}^{3}  =   { {(x}^{2} -  {1}^{2}) }^{3}   \\  = ( {x - 1)}^{3}  {(x + 1)}^{3}  \\ since \:  {(a - b)}^{3}  = ( {a}^{3}  -  {b}^{3}  + ab(a - b)) \\  {(a + b)}^{3} = ( {a}^{3}  +  {b}^{3}  + 3ab(a + b))  \\ hence \:  \: a = x \\  \:  \:  \:  \: b = 1 \\ substitute \: in \: the \: identities

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