Pre-Algebra Examples

$(6 x^{2} + 4 x - 9) - (8 x^{2} - 1 - 9 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 x^{2} + 4 x - 9 - (8 x^{2}) - - 1 - (- 9 x)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $8$ by $- 1$ .

$6 x^{2} + 4 x - 9 - 8 x^{2} - - 1 - (- 9 x)$

Step 1.2.2

Multiply $- 1$ by $- 1$ .

$6 x^{2} + 4 x - 9 - 8 x^{2} + 1 - (- 9 x)$

Step 1.2.3

Multiply $- 9$ by $- 1$ .

$6 x^{2} + 4 x - 9 - 8 x^{2} + 1 + 9 x$

$6 x^{2} + 4 x - 9 - 8 x^{2} + 1 + 9 x$

$6 x^{2} + 4 x - 9 - 8 x^{2} + 1 + 9 x$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 x^{2}$ from $6 x^{2}$ .

$- 2 x^{2} + 4 x - 9 + 1 + 9 x$

Step 2.2

Add $4 x$ and $9 x$ .

$- 2 x^{2} + 13 x - 9 + 1$

Step 2.3

Add $- 9$ and $1$ .

$- 2 x^{2} + 13 x - 8$

$- 2 x^{2} + 13 x - 8$

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