What is (40-x)x+(32-y)y-(x+y)^2 ?

The solution to (40-x)x+(32-y)y-(x+y)^2 is -2x^2+40x-2y^2+32y-2xy

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simplify (40-x)x+(32-y)y-(x+y)^2

simplify

(40 - x) x + (32 - y) y - (x + y)^{2}

- 2 x^{2} + 40 x - 2 y^{2} + 32 y - 2 x y

Solution steps

(40 - x) x + (32 - y) y - (x + y)^{2}

= x (40 - x) + y (32 - y) - (x + y)^{2}

Expand

x (40 - x) : 40 x - x^{2}

= 40 x - x^{2} + y (32 - y) - (x + y)^{2}

Expand

y (32 - y) : 32 y - y^{2}

= 40 x - x^{2} + 32 y - y^{2} - (x + y)^{2}

Expand

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

= 40 x - x^{2} + 32 y - y^{2} - x^{2} - 2 x y - y^{2}

Group like terms

= - x^{2} - x^{2} + 40 x - y^{2} - y^{2} + 32 y - 2 x y

Add similar elements:

- x^{2} - x^{2} = - 2 x^{2}

= - 2 x^{2} + 40 x - y^{2} - y^{2} + 32 y - 2 x y

Add similar elements:

- y^{2} - y^{2} = - 2 y^{2}

= - 2 x^{2} + 40 x - 2 y^{2} + 32 y - 2 x y

3 (23 - 45)

43 \cdot 21

\frac{0}{2 π}

x^{3} + x^{2} - 4 + 4 x

2 ∣ 3 - 4 ∣ - 3

What is (40-x)x+(32-y)y-(x+y)^2 ?
The solution to (40-x)x+(32-y)y-(x+y)^2 is -2x^2+40x-2y^2+32y-2xy