Question

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

Answer 1

${(2x - y + z)}^{2} \\ \\ = {(2x)}^{2} + {( - y)}^{2} + {(z)}^{2} + 2(2x)( - y) + 2( - y)(z) + 2(z)(2x) \\ \\ = 4 {x}^{2} + {y}^{2} + {z}^{2} - 4xy - 2yz + 4zx$

Answer 2

$\bold{Answer :}$

We know that,

(a + b + c)²

= a² + b² + c² + 2ab + 2bc + 2ca

Now,

(2x - y + z)²

= {2x + (- y) + z}²

= (2x)² + (- y)² + (z)² + {2 × 2x × (- y)} + (2 × 2x × z) + {2 × (- y) × z}

= 4x² + y² + z² - 4xy + 4xz - 2yz,

which is the required expansion.

#$\bold{MarkAsBrainliest}$