Math, asked by noaman16, 1 month ago

(X + Y) power 3 minus (x minus y power 3 ​

Answers

Answered by llUnknown23ll
1

Step-by-step explanation:

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Answered by llNidhill
5

Solution:-

 \color{magenta}(x + y) {}^{3} -( x -  y) {}^{3}  \\  \color{green}Using \: The \: Formula :-  \\ \color{lime}  {a}^{3} -    {b}^{3}  = (a - b)( {a}^{2}  + ab +  {b}^{2} ) \\  \implies(x + y) - (x - y)(x + y) {}^{2}  + (x + y)(x - y) + (x - y) {}^{2}  \\  \implies \: x + y - x + y \:(  {x}^{2}  + 2xy +   {y}^{2}  +  {x}^{2}  -  {y}^{2}  +  {}^{2}  - 2xy +  {y}^{2}   \\ \implies \: 2y(3x {}^{2}  +  {y}^{2} ) \\  \color{cyan} \implies \: 6x {}^{2} y  + 2y {}^{3}

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