Math, asked by anshul88, 1 year ago

Expand (x + y - z ) square

Answers

Answered by Abhinav2977
57
Proof: Let x + y = k then, (x + y + z)2 = (k + z)2 = k2 + 2kz + z2 (Using identity I) = (x + y)2 + 2( x + y)z + z2 = x2 + 2xy + y2 + 2 xz + 2yz + z2 = x2 + y2 + z2 + 2xy + 2yz + 2zx ...
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Answered by DaIncredible
112
Hey friend,
Here is the answer you were looking for:

 {(x + y - z)}^{2}  \\  \\ using \: the \: formula \\  {(a + b - c)}^{2}  =  {(a)}^{2}  +  {(b)}^{2}  +  {(c)}^{2}  + 2ab - 2bc - 2ca \\  \\  =  {(x)}^{2}  +  {(y)}^{2}  +  {(z)}^{2}  + 2xy  - 2yz - 2zx \\  \\  =  {x}^{2}  +  {y}^{2}  +  {z}^{2}  + 2xy - 2yz - 2xz
Hope this helps!!!

@Mahak24

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