Pre-Algebra Examples

(6 x^{2} - 5 x) - (10 x^{2} + 8 x - 8)

$(6 x^{2} - 5 x) - (10 x^{2} + 8 x - 8)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

6 x^{2} - 5 x - (10 x^{2}) - (8 x) - - 8

$6 x^{2} - 5 x - (10 x^{2}) - (8 x) - - 8$

Step 1.2

Simplify.

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Step 1.2.1

Multiply

10

$10$ by

- 1

$- 1$ .

6 x^{2} - 5 x - 10 x^{2} - (8 x) - - 8

$6 x^{2} - 5 x - 10 x^{2} - (8 x) - - 8$

Step 1.2.2

Multiply

8

$8$ by

- 1

$- 1$ .

6 x^{2} - 5 x - 10 x^{2} - 8 x - - 8

$6 x^{2} - 5 x - 10 x^{2} - 8 x - - 8$

Step 1.2.3

Multiply

- 1

$- 1$ by

- 8

$- 8$ .

6 x^{2} - 5 x - 10 x^{2} - 8 x + 8

$6 x^{2} - 5 x - 10 x^{2} - 8 x + 8$

6 x^{2} - 5 x - 10 x^{2} - 8 x + 8

$6 x^{2} - 5 x - 10 x^{2} - 8 x + 8$

6 x^{2} - 5 x - 10 x^{2} - 8 x + 8

$6 x^{2} - 5 x - 10 x^{2} - 8 x + 8$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract

10 x^{2}

$10 x^{2}$ from

6 x^{2}

$6 x^{2}$ .

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

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

Step 2.2

Subtract

8 x

$8 x$ from

- 5 x

$- 5 x$ .

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

$- 4 x^{2} - 13 x + 8$

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

$- 4 x^{2} - 13 x + 8$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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