Question

Expand and simplify (x+2y+z)^2 +(x-2y+z)^2​

Answer 1

Answer:

hey mate here is ur answer

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Answer 2

Answer:

$2x^{2} + 8y^{2} +2z^{2} + 8yz$

Step-by-step explanation:

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

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

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

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

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

$[$°.°$2x(2y+z) & -2x(2y+z)$ cancel each other$]$

=> $2x^{2} + 2[(2y)^{2} + z^{2} +2(2y)(z)]$

=> $2x^{2} + 2[4y^{2}+z^{2}+4yz]$

=> $2x^{2} + 8y^{2} +2z^{2} + 8yz$

Hence, your answer will be >>>> $2x^{2} + 8y^{2} +2z^{2} + 8yz$.

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Hope this will help you.☺