Algebra Examples

$(8 x^{2} - 4 x - 3) - (- 2 x - x^{2} + 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$8 x^{2} - 4 x - 3 - (- 2 x) - - x^{2} - 1 \cdot 5$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 2$ by $- 1$ .

$8 x^{2} - 4 x - 3 + 2 x - - x^{2} - 1 \cdot 5$

Step 1.2.2

Multiply $- - x^{2}$ .

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Step 1.2.2.1

Multiply $- 1$ by $- 1$ .

$8 x^{2} - 4 x - 3 + 2 x + 1 x^{2} - 1 \cdot 5$

Step 1.2.2.2

Multiply $x^{2}$ by $1$ .

$8 x^{2} - 4 x - 3 + 2 x + x^{2} - 1 \cdot 5$

$8 x^{2} - 4 x - 3 + 2 x + x^{2} - 1 \cdot 5$

Step 1.2.3

Multiply $- 1$ by $5$ .

$8 x^{2} - 4 x - 3 + 2 x + x^{2} - 5$

$8 x^{2} - 4 x - 3 + 2 x + x^{2} - 5$

$8 x^{2} - 4 x - 3 + 2 x + x^{2} - 5$

Step 2

Simplify by adding terms.

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Step 2.1

Add $8 x^{2}$ and $x^{2}$ .

$9 x^{2} - 4 x - 3 + 2 x - 5$

Step 2.2

Add $- 4 x$ and $2 x$ .

$9 x^{2} - 2 x - 3 - 5$

Step 2.3

Subtract $5$ from $- 3$ .

$9 x^{2} - 2 x - 8$

$9 x^{2} - 2 x - 8$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$