Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 1$ .

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

Step 1.2.2

Multiply $- 2$ by $- 1$ .

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

Step 1.2.3

Multiply $- 1$ by $9$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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

Step 2.2

Subtract $4 x$ from $3 x$ .

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

Step 2.3

Subtract $9$ from $7$ .

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