Math, asked by akprajapati55442, 1 year ago

factorise:x cube minus 8 y cube + 27 Z Cube + 18 x y z

Answers

Answered by RadhaG
37
Hey mate here is your answer.....

This answer is verified ✅✅

 {x}^{3}  -  {8y}^{3 }   + 27 {z}^{3}  +18xyz
Here is your solution.....

 =  {x}^{3}  +   {( - 2y})^{3}  +  {(3z})^{3}  - 3 \times x \times ( -2y)  \times (3z)
 = (x + y + z)( {x}^{2}  +  {y}^{2}   +  {z}^{2}  - xy - yz - zx)
 = ( x + ( - 2y) + (3z))(  {x}^{2}  + ( - {2y})^{2}  + ({3z})^{2}  - x \times(  - 2y) - ( - 2y) \times (3z)  -  (3z) \times( x)
 =  (x - 2y + 3z)( { x }^{2}  + 4 {y}^{2}  + 9 {z}^{2}   + 2xy +  6yz - 3zx)
hope it will help you....
Answered by aditya0642
7

Answer:

mark it as brainliest please

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