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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Add similar elements:

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

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

cos (x) (sin (x))

\frac{4 3}{3} \cdot 2

(w + 2 v)^{2}

(- 7) (8)

9 8 y