Algebra Examples

$(5 x + 2 x^{2} - 3) - (6 + x^{2} - 8 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 x + 2 x^{2} - 3 - 1 \cdot 6 - x^{2} - (- 8 x)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 1$ by $6$ .

$5 x + 2 x^{2} - 3 - 6 - x^{2} - (- 8 x)$

Step 1.2.2

Multiply $- 8$ by $- 1$ .

$5 x + 2 x^{2} - 3 - 6 - x^{2} + 8 x$

$5 x + 2 x^{2} - 3 - 6 - x^{2} + 8 x$

$5 x + 2 x^{2} - 3 - 6 - x^{2} + 8 x$

Step 2

Simplify by adding terms.

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Step 2.1

Add $5 x$ and $8 x$ .

$13 x + 2 x^{2} - 3 - 6 - x^{2}$

Step 2.2

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

$13 x + x^{2} - 3 - 6$

Step 2.3

Simplify the expression.

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Step 2.3.1

Subtract $6$ from $- 3$ .

$13 x + x^{2} - 9$

Step 2.3.2

Reorder $13 x$ and $x^{2}$ .

$x^{2} + 13 x - 9$

$x^{2} + 13 x - 9$

$x^{2} + 13 x - 9$

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