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

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

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expand (x+y-2z)^2

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

= xx + x y + x (- 2 z) + y x + yy + y (- 2 z) - 2 z x - 2 zy - 2 z (- 2 z)

Simplify

xx + x y + x (- 2 z) + y x + yy + y (- 2 z) - 2 z x - 2 zy - 2 z (- 2 z) : x^{2} + 2 x y - 4 x z + y^{2} - 4 yz + 4 z^{2}

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

- 7 0.36 + 5.4

2 \cdot 1 0^{- 1}

\frac{1 - sin ^{2} ( x )}{1 + sin ( x )}

\frac{1}{v + 10} \cdot \frac{10 v + 30}{v + 3}

43 2^{\frac{1}{4}}

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