What is 2x-(2x+3)^2+4(x-1)+x^3 ?

The solution to 2x-(2x+3)^2+4(x-1)+x^3 is x^3-4x^2-6x-13

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simplify 2x-(2x+3)^2+4(x-1)+x^3

simplify

2 x - (2 x + 3)^{2} + 4 (x - 1) + x^{3}

x^{3} - 4 x^{2} - 6 x - 13

Solution steps

2 x - (2 x + 3)^{2} + 4 (x - 1) + x^{3}

Expand

- (2 x + 3)^{2} : - 4 x^{2} - 12 x - 9

= 2 x - 4 x^{2} - 12 x - 9 + 4 (x - 1) + x^{3}

Expand

4 (x - 1) : 4 x - 4

= 2 x - 4 x^{2} - 12 x - 9 + 4 x - 4 + x^{3}

Group like terms

= x^{3} - 4 x^{2} + 2 x - 12 x + 4 x - 9 - 4

Add similar elements:

2 x - 12 x + 4 x = - 6 x

= x^{3} - 4 x^{2} - 6 x - 9 - 4

Subtract the numbers:

- 9 - 4 = - 13

= x^{3} - 4 x^{2} - 6 x - 13

ln (ln (e^{e^{50}}))

7 (1 + 9 v) - 8 (- 5 v - 6)

(x^{- 3} + y^{- 2})^{- 1}

\frac{- 20}{- 5}

(2 x^{3} - 9)^{3}

What is 2x-(2x+3)^2+4(x-1)+x^3 ?
The solution to 2x-(2x+3)^2+4(x-1)+x^3 is x^3-4x^2-6x-13