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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a + b) = a - b

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

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

Group like terms

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

Subtract the numbers:

- 1 - 2 = - 3

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

\frac{2 a}{6 a ^{2}} - \frac{a - 1}{2 a - 7}

\frac{5 3 - 2}{3 - 1}

(19 - 9 i) - (18 - 10 i)

5 (x^{2} - y^{2}) + x (y - 3 x) - 4 y (2 x + 7 y)

(4 x - 3) (4 x + 2)

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