Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$8 x^{2} - - x^{2} - (2 x) - - 3$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- - x^{2}$ .

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Step 1.2.1.1

Multiply $- 1$ by $- 1$ .

$8 x^{2} + 1 x^{2} - (2 x) - - 3$

Step 1.2.1.2

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

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

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

Step 1.2.2

Multiply $2$ by $- 1$ .

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

Step 1.2.3

Multiply $- 1$ by $- 3$ .

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

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

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

Step 2

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

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

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