Math, asked by yadram219, 10 months ago

Factorise
 {(a + b)}^{3}  - 8
Please answer it

Answers

Answered by surendrkgp19821
2

Answer:

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Answered by dangerousqueen01
2

Step-by-step explanation:

 {(a + b)}^{3} - 8  \\  = {(a + b)}^{3} -  {(2)}^{3}  \\  =  {x}^{3}  -  {y}^{3}  \\  = (x - y)( {x}^{2}  + xy +  {y}^{2} ) \\  = [(a + b )- 2][ {(a + b)}^{2}  + ab +  {(2)}^{2} ] \\  = (a + b - 2)( {a}^{2}  + 2ab +  {b}^{2}  + ab + 4) \\  = (a + b - 2) ({a}^{2} +  {b}^{2}  + 3ab + 4)

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