Math, asked by yongrang36, 1 year ago

(2x-y-z)^2 expand using identity

Answers

Answered by pratik40
24

hi \: ...

here is your answer ....

To expand :

( {2x - y - z})^{2}

By using formula ...

( {a + b + c})^{2}  =  {a}^{2}  +  {b}^{2}  +  {c}^{2}  \\  + 2ab + 2bc + 2ac

Thus ,

( {2x - y - z})^{2}

 =(  {2x})^{2}  +  ({ - y})^{2}  + ( { - z})^{2}  \\  + 2(2x)( - y) + 2( - y)( - z) \\  + 2(2x)( - z)

 = 4 {x}^{2}  +  {y}^{2}   +  {z}^{2}  - 4xy +  \\ 2yz - 4xz

hope this helps ! ! !

Answered by Anonymous
9

(2x-y-z)²

= (2x)² + y² + z² - 2.2x.y + 2.y.z - 2.z.2x

= 4x² + y² + z² - 4xy + 2yz - 4xz

[by using the identity (a-b-c)² = a² + b² + c² - 2ab + 2bc - 2ca]

Hope this helps you friend.....

Be brainly

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