Question

simplify :
(x-y+z)² + (y+z-x)² +2(x-y+z) (y+z-x)​

Answer 1

Answer:

$= 4 {x}^{2}$

Step-by-step explanation:

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

it is like expression

$( {a + b})^{2} = {a}^{2} + {b}^{2} + 2ab$

then using expression

we get

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

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

$= ({2x)}^{2}$

$= 4 {x}^{2}$

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