What is 2x(1+x)-(2x-4)+x^2 ?

The solution to 2x(1+x)-(2x-4)+x^2 is 3x^2+4

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simplify 2x(1+x)-(2x-4)+x^2

simplify

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

3 x^{2} + 4

Solution steps

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

Apply the distributive law:

- (a - b) = - a + b

- (2 x - 4) = - 2 x + 4

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

Expand

2 x (1 + x) : 2 x + 2 x^{2}

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

2 x - 2 x = 0

= 3 x^{2} + 4

\frac{8}{40}

p^{3} (p^{2} - p^{- 3})

3 x^{2} \cdot 6

(y + 3)^{3} + (y - 3)^{3} - 54 y

(- 6) - 3