Question

fatorise the following (x-y+z)^2+2(x-y+z)(y-z+x)+(y-z+x)^2​

Answer 1

Answer:

The answer is $4x^2$

Step-by-step explanation:

Since we know that $\boxed{a^2+2ab+b^2=(a+b)^2}$

Therefore

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

     $=(x-y+z+y-z+x)^2$  $\boxed{\text{Here } a=x-y+z, b=y-z+x}$

     $=(2x)^2=4x^2$

Answer 2

Answer: $4x^{2}$

Step-by-step explanation:

Below I've attached the workings out. It is in 4 parts because My laptop wouldn't allow me to take 1 big screenshot.