Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $2$ by $- 1$ .

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

Step 1.3

Multiply $2$ by $- 1$ .

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

Step 1.4

Apply the distributive property.

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

Step 1.5

Multiply $4$ by $- 1$ .

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

Step 1.6

Multiply $- 1$ by $- 4$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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Step 2.1.1

Subtract $2 x$ from $2 x$ .

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

Step 2.1.2

Add $9 x^{2} - 2 x^{2}$ and $0$ .

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

Step 2.2

Subtract $2 x^{2}$ from $9 x^{2}$ .

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

Step 2.3

Subtract $4 x^{2}$ from $7 x^{2}$ .

$3 x^{2} + 4$