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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (y-x)(z-x)(z-y)

expand

(y - x) (z - x) (z - y)

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

Solution steps

(y - x) (z - x) (z - y)

Expand

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

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

Distribute parentheses

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

Simplify

yzz + yz (- y) - y x z - y x (- y) - x zz - x z (- y) + x^{2} z + x^{2} (- y) : y z^{2} - y^{2} z + y^{2} x - x z^{2} + x^{2} z - y x^{2}

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

(- 1 - i 3)^{- 2}

\frac{85}{100}

x \times x

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

\frac{2}{4} + \frac{6}{4}

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