What is x(2-x)+(x+4)(2-x)+3x ?

The solution to x(2-x)+(x+4)(2-x)+3x is -2x^2+3x+8

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simplify x(2-x)+(x+4)(2-x)+3x

simplify

x (2 - x) + (x + 4) (2 - x) + 3 x

- 2 x^{2} + 3 x + 8

Solution steps

x (2 - x) + (x + 4) (2 - x) + 3 x

Expand

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

= 2 x - x^{2} + (x + 4) (2 - x) + 3 x

Expand

(x + 4) (2 - x) : - x^{2} - 2 x + 8

= 2 x - x^{2} - x^{2} - 2 x + 8 + 3 x

Add similar elements:

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

= 2 x - 2 x^{2} - 2 x + 8 + 3 x

Group like terms

= - 2 x^{2} + 2 x - 2 x + 3 x + 8

Add similar elements:

2 x - 2 x + 3 x = 3 x

= - 2 x^{2} + 3 x + 8

27 - 125 x^{3}

\frac{2}{1 + 3 i}

\frac{- 2. 9 ^{3} + 27}{- 2.9 + 3}

(4 y + 7)^{2}

- 2 (9 + 2 a) - 8 (4 - 5 a)

What is x(2-x)+(x+4)(2-x)+3x ?
The solution to x(2-x)+(x+4)(2-x)+3x is -2x^2+3x+8