What is expand (2x+y-z)(3x-z+y) ?

The solution to expand (2x+y-z)(3x-z+y) is 6x^2-2yz-5xz+5xy+y^2+z^2

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expand (2x+y-z)(3x-z+y)

expand

(2 x + y - z) (3 x - z + y)

6 x^{2} - 2 yz - 5 x z + 5 x y + y^{2} + z^{2}

Solution steps

(2 x + y - z) (3 x - z + y)

Distribute parentheses

= 2 x \cdot 3 x + 2 x (- z) + 2 x y + y \cdot 3 x + y (- z) + yy - z \cdot 3 x - z (- z) - zy

Simplify

2 x \cdot 3 x + 2 x (- z) + 2 x y + y \cdot 3 x + y (- z) + yy - z \cdot 3 x - z (- z) - zy : 6 x^{2} - 2 yz - 5 x z + 5 x y + y^{2} + z^{2}

= 6 x^{2} - 2 yz - 5 x z + 5 x y + y^{2} + z^{2}

(6 + 2 i)^{2} - (1 - 5 i)

\frac{100}{250}

3 \frac{6}{7}

8 x^{3} - x^{2} - 9 x^{5} + 10

\frac{3}{5} + \frac{9}{10}

What is expand (2x+y-z)(3x-z+y) ?
The solution to expand (2x+y-z)(3x-z+y) is 6x^2-2yz-5xz+5xy+y^2+z^2