Algebra Examples

$(9 x^{3} - 4 x^{2} - 1) - (7 - 9 x^{2} + 9 x^{3})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 1$ by $7$ .

$9 x^{3} - 4 x^{2} - 1 - 7 - (- 9 x^{2}) - (9 x^{3})$

Step 1.2.2

Multiply $- 9$ by $- 1$ .

$9 x^{3} - 4 x^{2} - 1 - 7 + 9 x^{2} - (9 x^{3})$

Step 1.2.3

Multiply $9$ by $- 1$ .

$9 x^{3} - 4 x^{2} - 1 - 7 + 9 x^{2} - 9 x^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $9 x^{3} - 4 x^{2} - 1 - 7 + 9 x^{2} - 9 x^{3}$ .

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Step 2.1.1

Subtract $9 x^{3}$ from $9 x^{3}$ .

$- 4 x^{2} - 1 - 7 + 9 x^{2} + 0$

Step 2.1.2

Add $- 4 x^{2} - 1 - 7 + 9 x^{2}$ and $0$ .

$- 4 x^{2} - 1 - 7 + 9 x^{2}$

Step 2.2

Add $- 4 x^{2}$ and $9 x^{2}$ .

$5 x^{2} - 1 - 7$

Step 2.3

Subtract $7$ from $- 1$ .

$5 x^{2} - 8$