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

The solution to expand (x-2y+3z)^2 is x^2-4xy+6xz+4y^2-12yz+9z^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

(x - 2 y + 3 z)^{2}

x^{2} - 4 x y + 6 x z + 4 y^{2} - 12 yz + 9 z^{2}

Solution steps

(x - 2 y + 3 z)^{2}

Apply exponent rule:

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

(x - 2 y + 3 z)^{2} = (x - 2 y + 3 z) (x - 2 y + 3 z)

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

Distribute parentheses

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

Simplify

xx + x (- 2 y) + x \cdot 3 z - 2 y x - 2 y (- 2 y) - 2 y \cdot 3 z + 3 z x + 3 z (- 2 y) + 3 z \cdot 3 z : x^{2} - 4 x y + 6 x z + 4 y^{2} - 12 yz + 9 z^{2}

= x^{2} - 4 x y + 6 x z + 4 y^{2} - 12 yz + 9 z^{2}

(6^{5})^{2}

- 2 \cdot \frac{1}{5}

\frac{68}{17}

\frac{3}{5} \cdot 20

- (- 8 q - 8.7)

What is expand (x-2y+3z)^2 ?
The solution to expand (x-2y+3z)^2 is x^2-4xy+6xz+4y^2-12yz+9z^2