Math, asked by Sakshi543355, 3 months ago

Verify the identity

{a}^{3} - {b}^{3} = ( a - b)( {a}^{2} + ab \: + {b}^{2} )a3−b3=(a−b)(a2+ab+b2)

Please answer in steps please​

Answers

Answered by Zackary
12

Answer:

{a}^{3} - {b}^{3} = ( a - b)( {a}^{2} + ab \: + {b}^{2} ) \\ = (  {a}^{3}  +  {a}^{2}b + ab {}^{2}  -  {a}^{2}b -  ab {}^{2}  -  {b}^{3} )  \\  = {a}^{3} - {b}^{3} \\  \sf \: hence \: proved

Answered by Anonymous
3

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