What is expand 7*(2-x-y)^2 ?

The solution to expand 7*(2-x-y)^2 is 14xy-28x+7x^2-28y+7y^2+28

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expand 7*(2-x-y)^2

expand

7 \cdot (2 - x - y)^{2}

14 x y - 28 x + 7 x^{2} - 28 y + 7 y^{2} + 28

Solution steps

7 (2 - x - y)^{2}

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

= 7 (x^{2} + 2 x y - 4 x + y^{2} + 4 - 4 y)

Distribute parentheses

= 7 \cdot 2 x y + 7 (- 4 x) + 7 x^{2} + 7 (- 4 y) + 7 y^{2} + 7 \cdot 4

Apply minus-plus rules

+ (- a) = - a

= 7 \cdot 2 x y - 7 \cdot 4 x + 7 x^{2} - 7 \cdot 4 y + 7 y^{2} + 7 \cdot 4

Simplify

7 \cdot 2 x y - 7 \cdot 4 x + 7 x^{2} - 7 \cdot 4 y + 7 y^{2} + 7 \cdot 4 : 14 x y - 28 x + 7 x^{2} - 28 y + 7 y^{2} + 28

= 14 x y - 28 x + 7 x^{2} - 28 y + 7 y^{2} + 28

\frac{8 - x}{4}

(x^{2} + y^{2} - 4 z^{2} - 8 = 0) (x^{2} + y^{2} - 6 z^{2})

(\frac{x}{2} - 3)^{2}

cos (- 5 t) cos (8 t)

\frac{2 x ^{2} + 5 x - 10}{( x - 1 ) ( x + 2 )}

What is expand 7*(2-x-y)^2 ?
The solution to expand 7*(2-x-y)^2 is 14xy-28x+7x^2-28y+7y^2+28