What is (18-2x^3+9x)-(4-x^2-3x^3+11x) ?

The solution to (18-2x^3+9x)-(4-x^2-3x^3+11x) is x^3+x^2-2x+14

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simplify (18-2x^3+9x)-(4-x^2-3x^3+11x)

simplify

(18 - 2 x^{3} + 9 x) - (4 - x^{2} - 3 x^{3} + 11 x)

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

Solution steps

(18 - 2 x^{3} + 9 x) - (4 - x^{2} - 3 x^{3} + 11 x)

Apply rule:

(a) = a

(18 - 2 x^{3} + 9 x) = 18 - 2 x^{3} + 9 x

= 18 - 2 x^{3} + 9 x - (4 - x^{2} - 3 x^{3} + 11 x)

Apply the distributive law:

- (a - b) = - a + b

- (4 - x^{2} - 3 x^{3} + 11 x) = - 4 + x^{2} + 3 x^{3} - 11 x

= 18 - 2 x^{3} + 9 x - 4 + x^{2} + 3 x^{3} - 11 x

Group like terms

= - 2 x^{3} + 3 x^{3} + x^{2} + 9 x - 11 x + 18 - 4

Add similar elements:

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

= x^{3} + x^{2} + 9 x - 11 x + 18 - 4

Add similar elements:

9 x - 11 x = - 2 x

= x^{3} + x^{2} - 2 x + 18 - 4

Subtract the numbers:

18 - 4 = 14

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

(1 + x)^{10}

lo g_{13} (88.5)

x (x y)

x^{3} - 2 x^{3}

4 x^{2} y^{4}

What is (18-2x^3+9x)-(4-x^2-3x^3+11x) ?
The solution to (18-2x^3+9x)-(4-x^2-3x^3+11x) is x^3+x^2-2x+14