What is expand 2(1-x-y)^2 ?

The solution to expand 2(1-x-y)^2 is 4xy-4x+2x^2-4y+2y^2+2

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expand 2(1-x-y)^2

expand

2 (1 - x - y)^{2}

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

Solution steps

2 (1 - x - y)^{2}

(1 - x - y)^{2} = 2 x y - 2 x + x^{2} - 2 y + y^{2} + 1

= 2 (x^{2} + 2 x y - 2 x + y^{2} + 1 - 2 y)

Distribute parentheses

= 2 \cdot 2 x y + 2 (- 2 x) + 2 x^{2} + 2 (- 2 y) + 2 y^{2} + 2 \cdot 1

Apply minus-plus rules

+ (- a) = - a

= 2 \cdot 2 x y - 2 \cdot 2 x + 2 x^{2} - 2 \cdot 2 y + 2 y^{2} + 2 \cdot 1

Simplify

2 \cdot 2 x y - 2 \cdot 2 x + 2 x^{2} - 2 \cdot 2 y + 2 y^{2} + 2 \cdot 1 : 4 x y - 4 x + 2 x^{2} - 4 y + 2 y^{2} + 2

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

\frac{d}{d x} ((z) (3 sin (z) x^{2} - 4 x + 2 y z - y^{2}))

(x^{2} - 4) e^{3 x}

3 (1 - e^{- 0.035 t})

\frac{x ^{3} - 4 x ^{2} + 2 x - 5}{( 2 x - 4 ) ^{2}}

- \frac{6 x ^{2} - 8 x + 3}{( x - 1 ) ^{3}}

What is expand 2(1-x-y)^2 ?
The solution to expand 2(1-x-y)^2 is 4xy-4x+2x^2-4y+2y^2+2