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

The solution to (x-1)^3-(x+2)(x^2-2x+4)+3x^2-3x is -9

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

simplify

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

- 9

Solution steps

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

Expand

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

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

Expand

- (x + 2) (x^{2} - 2 x + 4) : - x^{3} - 8

= x^{3} - 3 x^{2} + 3 x - 1 - x^{3} - 8 + 3 x^{2} - 3 x

Group like terms

= x^{3} - x^{3} - 3 x^{2} + 3 x^{2} + 3 x - 3 x - 1 - 8

Add similar elements:

x^{3} - x^{3} = 0

= - 3 x^{2} + 3 x^{2} + 3 x - 3 x - 1 - 8

Add similar elements:

- 3 x^{2} + 3 x^{2} = 0

= 3 x - 3 x - 1 - 8

Add similar elements:

3 x - 3 x = 0

= - 1 - 8

Subtract the numbers:

- 1 - 8 = - 9

= - 9

25 x^{4} + 31 x^{2} + 16

20 \frac{m}{s} h^{25} m^{35} m^{45} m^{5} m^{30} \frac{m}{s}

(x + y)^{2} - (x + y) + 12

(1) (x - c) (x - d) (x + k)

(\frac{4 r}{3})^{3}

What is (x-1)^3-(x+2)(x^2-2x+4)+3x^2-3x ?
The solution to (x-1)^3-(x+2)(x^2-2x+4)+3x^2-3x is -9