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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

= 2 x \cdot 2 x + 2 x (- y) + 2 x z + y \cdot 2 x + y (- y) + yz - z \cdot 2 x - z (- y) - zz

Simplify

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

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

(x + 1)^{2} - (x + 1) - 9

\frac{45 x 5}{5 15}

\frac{3 - 9 i}{9 i}

6 x - 7 - 4 (2 x - 5)

\frac{2}{3} \cdot 14

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