Algebra Examples

$(7 x^{3} - x + 4 x^{2} - 9) - (6 x^{2} - 4 x^{3} + 11)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 x^{3} - x + 4 x^{2} - 9 - (6 x^{2}) - (- 4 x^{3}) - 1 \cdot 11$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $6$ by $- 1$ .

$7 x^{3} - x + 4 x^{2} - 9 - 6 x^{2} - (- 4 x^{3}) - 1 \cdot 11$

Step 1.2.2

Multiply $- 4$ by $- 1$ .

$7 x^{3} - x + 4 x^{2} - 9 - 6 x^{2} + 4 x^{3} - 1 \cdot 11$

Step 1.2.3

Multiply $- 1$ by $11$ .

$7 x^{3} - x + 4 x^{2} - 9 - 6 x^{2} + 4 x^{3} - 11$

Step 2

Simplify by adding terms.

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Step 2.1

Add $7 x^{3}$ and $4 x^{3}$ .

$11 x^{3} - x + 4 x^{2} - 9 - 6 x^{2} - 11$

Step 2.2

Subtract $6 x^{2}$ from $4 x^{2}$ .

$11 x^{3} - x - 2 x^{2} - 9 - 11$

Step 2.3

Subtract $11$ from $- 9$ .

$11 x^{3} - x - 2 x^{2} - 20$