Math, asked by labrilosaudi, 2 months ago

expand (2x - y + z) sq using suitable identity​

Answers

Answered by rohangupta0424
0

Answer:

I think you meant expand (2x - y + z)² using suitable identity

(2x - y + z)^2

          Using \: identity , \: ( a + b + c )^2 = a^2+b^2+c^2+2ab+2bc+2ca

         Where: \: a = 2x, \: b = - y , \: c = z

(2x)^2+(-y)^2+z^2+2(2x)(-y)+2(-y)z+2z(2x)

4x^2 + y^2 + z^2 - 4xy - 2yz + 4zx

Answered by xSoyaibImtiazAhmedx
3

Answer:

(2x - y + z)²

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

= 4x² + y² + z² - 4xy - 2yz +4zx

Identity used :—

 \boxed{ \bold{† \: (a + b + c) ^{2}  =  {a}^{2}  +  {b}^{2}  +  {c}^{2}  + 2ab + 2bc + 2ca} \:  \: †}

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