Pre-Algebra Examples

$- x (2 + x) - 5 (x - 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- x \cdot 2 - x \cdot x - 5 (x - 5)$

Step 1.2

Multiply $2$ by $- 1$ .

$- 2 x - x \cdot x - 5 (x - 5)$

Step 1.3

Multiply $x$ by $x$ by adding the exponents.

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Step 1.3.1

Move $x$ .

$- 2 x - (x \cdot x) - 5 (x - 5)$

Step 1.3.2

Multiply $x$ by $x$ .

$- 2 x - x^{2} - 5 (x - 5)$

$- 2 x - x^{2} - 5 (x - 5)$

Step 1.4

Apply the distributive property.

$- 2 x - x^{2} - 5 x - 5 \cdot - 5$

Step 1.5

Multiply $- 5$ by $- 5$ .

$- 2 x - x^{2} - 5 x + 25$

$- 2 x - x^{2} - 5 x + 25$

Step 2

Subtract $5 x$ from $- 2 x$ .

$- x^{2} - 7 x + 25$

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