Math, asked by palankit9559gmailcom, 1 year ago

X + Y ka whole cube minus x minus y k factor​

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Answered by TPS
19

 {(x + y)}^{3}  - x - y \\  \\  =  {(x + y)}^{3}  - (x  + y )\\  \\  = (x + y) \: [ {(x + y)}^{2}  - 1] \\  \\  = (x + y) \: [ {(x + y)}^{2}  -  {1}^{2} ] \\  \\  = (x + y) \: [ (x + y \:  + 1)(x + y \:  - 1)] \\  \\  = (x + y) (x + y + 1)(x + y - 1)


palankit9559gmailcom: Thanks a lot
TPS: welcome!
Answered by Anonymous
8

Step-by-step explanation:

\begin{lgathered}{(x + y)}^{3} - x - y \\ \\ = {(x + y)}^{3} - (x + y )\\ \\ = (x + y) \: [ {(x + y)}^{2} - 1] \\ \\ = (x + y) \: [ {(x + y)}^{2} - {1}^{2} ] \\ \\ = (x + y) \: [ (x + y \: + 1)(x + y \: - 1)] \\ \\ = (x + y) (x + y + 1)(x + y - 1)\end{lgathered}

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