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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

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

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

Subtract the numbers:

4 - 3 = 1

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

\frac{1}{2} \cdot (- \frac{3}{4})

(- 0.5)^{3}

\frac{125 x ^{4} y}{5 x ^{6} y ^{8}}

2 y - 2 y

(3 t - 2) (7 t - 4)

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