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

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

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expand (2x-y+z)^2

expand

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

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

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

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

\frac{1}{2} \div 3 \frac{1}{4}

7 (- 9)

- 6 (x + 9) + 3 (- 2 x - 4)

6242

- 3 s^{2} + 9 s

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