Pre-Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $10$ by $- 1$ .

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

Step 1.2.2

Multiply $8$ by $- 1$ .

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

Step 1.2.3

Multiply $- 1$ by $- 8$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $10 x^{2}$ from $6 x^{2}$ .

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

Step 2.2

Subtract $8 x$ from $- 5 x$ .

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

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

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