What is expand (x-2y+z)(x+2y+z) ?

The solution to expand (x-2y+z)(x+2y+z) is x^2+2xz-4y^2+z^2

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

expand

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

x^{2} + 2 x z - 4 y^{2} + z^{2}

Solution steps

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

Distribute parentheses

= xx + x \cdot 2 y + x z - 2 y x - 2 y \cdot 2 y - 2 yz + z x + z \cdot 2 y + zz

Simplify

xx + x \cdot 2 y + x z - 2 y x - 2 y \cdot 2 y - 2 yz + z x + z \cdot 2 y + zz : x^{2} + 2 x z - 4 y^{2} + z^{2}

= x^{2} + 2 x z - 4 y^{2} + z^{2}

\frac{2 x - 6}{x ^{2} - 9} - \frac{x}{x + 3}

(2 m^{4})^{3}

\frac{sec ^{2} ( θ )}{csc ^{2} ( θ )}

\frac{20 - 26}{\frac{10}{80}}

\frac{1}{x - 1} - \frac{2}{x ^{2} - 1}

What is expand (x-2y+z)(x+2y+z) ?
The solution to expand (x-2y+z)(x+2y+z) is x^2+2xz-4y^2+z^2