Algebra Examples

$(4 x^{3} - 3 x^{2} + 6 x - 4) - (- 2 x^{3} + x^{2} - 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 x^{3} - 3 x^{2} + 6 x - 4 - (- 2 x^{3}) - x^{2} - - 2$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 2$ by $- 1$ .

$4 x^{3} - 3 x^{2} + 6 x - 4 + 2 x^{3} - x^{2} - - 2$

Step 1.2.2

Multiply $- 1$ by $- 2$ .

$4 x^{3} - 3 x^{2} + 6 x - 4 + 2 x^{3} - x^{2} + 2$

Step 2

Simplify by adding terms.

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Step 2.1

Add $4 x^{3}$ and $2 x^{3}$ .

$6 x^{3} - 3 x^{2} + 6 x - 4 - x^{2} + 2$

Step 2.2

Subtract $x^{2}$ from $- 3 x^{2}$ .

$6 x^{3} - 4 x^{2} + 6 x - 4 + 2$

Step 2.3

Add $- 4$ and $2$ .

$6 x^{3} - 4 x^{2} + 6 x - 2$