What is simplify-2x(x^3-6x^2+6)+4x^3-(5x^4+10x) ?

The solution to simplify-2x(x^3-6x^2+6)+4x^3-(5x^4+10x) is -7x^4+16x^3-22x

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simplify-2x(x^3-6x^2+6)+4x^3-(5x^4+10x)

simplify

- 2 x (x^{3} - 6 x^{2} + 6) + 4 x^{3} - (5 x^{4} + 10 x)

- 7 x^{4} + 16 x^{3} - 22 x

Solution steps

- 2 x (x^{3} - 6 x^{2} + 6) + 4 x^{3} - (5 x^{4} + 10 x)

Apply the distributive law:

- (a + b) = - a - b

- (5 x^{4} + 10 x) = - 5 x^{4} - 10 x

= - 2 x (x^{3} - 6 x^{2} + 6) + 4 x^{3} - 5 x^{4} - 10 x

Expand

- 2 x (x^{3} - 6 x^{2} + 6) : - 2 x^{4} + 12 x^{3} - 12 x

= - 2 x^{4} + 12 x^{3} - 12 x + 4 x^{3} - 5 x^{4} - 10 x

Group like terms

= - 2 x^{4} - 5 x^{4} + 12 x^{3} + 4 x^{3} - 12 x - 10 x

Add similar elements:

- 2 x^{4} - 5 x^{4} = - 7 x^{4}

= - 7 x^{4} + 12 x^{3} + 4 x^{3} - 12 x - 10 x

Add similar elements:

12 x^{3} + 4 x^{3} = 16 x^{3}

= - 7 x^{4} + 16 x^{3} - 12 x - 10 x

Add similar elements:

- 12 x - 10 x = - 22 x

= - 7 x^{4} + 16 x^{3} - 22 x

- mn p (3 m - 5 n + 7 p)

4 x^{3} + 2 x^{2} - 14 x + 3

(n + 2) \cdot (0.5 n + 1)

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

\frac{20}{20}

What is simplify-2x(x^3-6x^2+6)+4x^3-(5x^4+10x) ?
The solution to simplify-2x(x^3-6x^2+6)+4x^3-(5x^4+10x) is -7x^4+16x^3-22x