What is (7x^2-x-2)-(-6x^3+3) ?

The solution to (7x^2-x-2)-(-6x^3+3) is 6x^3+7x^2-x-5

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simplify (7x^2-x-2)-(-6x^3+3)

simplify

(7 x^{2} - x - 2) - (- 6 x^{3} + 3)

6 x^{3} + 7 x^{2} - x - 5

Solution steps

(7 x^{2} - x - 2) - (- 6 x^{3} + 3)

Apply rule:

(a) = a

(7 x^{2} - x - 2) = 7 x^{2} - x - 2

= 7 x^{2} - x - 2 - (- 6 x^{3} + 3)

Apply the distributive law:

- (- a + b) = a - b

- (- 6 x^{3} + 3) = 6 x^{3} - 3

= 7 x^{2} - x - 2 + 6 x^{3} - 3

Group like terms

= 6 x^{3} + 7 x^{2} - x - 2 - 3

Subtract the numbers:

- 2 - 3 = - 5

= 6 x^{3} + 7 x^{2} - x - 5

lo g_{10} (3) \cdot lo g_{10} (10)

(x + 8)^{2} + (x - 8)^{2} - (x + 2) (x - 2)

3 e^{2 t}

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

What is (7x^2-x-2)-(-6x^3+3) ?
The solution to (7x^2-x-2)-(-6x^3+3) is 6x^3+7x^2-x-5