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

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

Simplify

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

\frac{1}{y} \cdot x

1 - 4 x^{2} y^{2}

27 (x + y)^{3} - 8 (x - y)^{3}

(x^{2} \cdot y^{2} \cdot z^{2})^{5}

(x + 5)^{2} - (x - 5)^{2} - (x^{2} + 7 x - 14)

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