What is expand 4(1-x-y)^2 ?

The solution to expand 4(1-x-y)^2 is 8xy-8x+4x^2-8y+4y^2+4

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expand 4(1-x-y)^2

expand

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

8 x y - 8 x + 4 x^{2} - 8 y + 4 y^{2} + 4

Solution steps

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

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

= 4 (x^{2} + 2 x y - 2 x + y^{2} + 1 - 2 y)

Distribute parentheses

= 4 \cdot 2 x y + 4 (- 2 x) + 4 x^{2} + 4 (- 2 y) + 4 y^{2} + 4 \cdot 1

Apply minus-plus rules

+ (- a) = - a

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

Simplify

4 \cdot 2 x y - 4 \cdot 2 x + 4 x^{2} - 4 \cdot 2 y + 4 y^{2} + 4 \cdot 1 : 8 x y - 8 x + 4 x^{2} - 8 y + 4 y^{2} + 4

= 8 x y - 8 x + 4 x^{2} - 8 y + 4 y^{2} + 4

(- 1 + 2 i)^{9}

5 (6 x cos (9 x) - 54 x^{2} sin (9 x) - 81 x^{3} cos (9 x))

5 l e f t (x + y + z - w)

(- 1 + 2 i)^{7}

\frac{( 38 ) + ( 45 ) + ( 39 ) + ( 40 ) + ( 44 )}{5}

What is expand 4(1-x-y)^2 ?
The solution to expand 4(1-x-y)^2 is 8xy-8x+4x^2-8y+4y^2+4