Math, asked by Shriprakash5331, 1 year ago

216x^3 + 1/125 factorise it

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Answered by LivingReverie
117

 = 216 {x}^{3}  +  \frac{1}{125}  \\  \\ using \:  {x}^{3}  +  {y}^{3}  = (x + y)( {x}^{2}  +  {y}^{2}  - xy) \\  \\  =  {(6x)}^{3}  +   {( \frac{1}{5} )}^{3}  \\  \\  = (6x +  \frac{1}{5})( \:  {(6x)}^{2}  + ( { \frac{1}{5} })^{2}  - 6x \times  \frac{1}{5} ) \\  \\  = (6x +  \frac{1}{5} )(36 {x}^{2}  +  \frac{1}{25}  -  \frac{6x}{5} ) \\  \\
Answered by Diksha12341
41

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