Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 1$ .

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

Step 1.2.2

Multiply $- 2$ by $- 1$ .

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

Step 1.2.3

Multiply $- 4$ by $- 1$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $- 3 x + x^{3} - 2 x^{2} - 4 x^{3} + 2 x^{2} + 4 x$ .

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Step 2.1.1

Add $- 2 x^{2}$ and $2 x^{2}$ .

$- 3 x + x^{3} - 4 x^{3} + 0 + 4 x$

Step 2.1.2

Add $- 3 x + x^{3} - 4 x^{3}$ and $0$ .

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

Step 2.2

Add $- 3 x$ and $4 x$ .

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

Step 2.3

Subtract $4 x^{3}$ from $x^{3}$ .

$- 3 x^{3} + x$