Algebra Examples

$(100 - x) (100 + x)$

Step 1

Expand $(100 - x) (100 + x)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$100 (100 + x) - x (100 + x)$

Step 1.2

Apply the distributive property.

$100 \cdot 100 + 100 x - x (100 + x)$

Step 1.3

Apply the distributive property.

$100 \cdot 100 + 100 x - x \cdot 100 - x \cdot x$

$100 \cdot 100 + 100 x - x \cdot 100 - x \cdot x$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $100$ by $100$ .

$10000 + 100 x - x \cdot 100 - x \cdot x$

Step 2.1.2

Multiply $100$ by $- 1$ .

$10000 + 100 x - 100 x - x \cdot x$

Step 2.1.3

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

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Step 2.1.3.1

Move $x$ .

$10000 + 100 x - 100 x - (x \cdot x)$

Step 2.1.3.2

Multiply $x$ by $x$ .

$10000 + 100 x - 100 x - x^{2}$

$10000 + 100 x - 100 x - x^{2}$

$10000 + 100 x - 100 x - x^{2}$

Step 2.2

Subtract $100 x$ from $100 x$ .

$10000 + 0 - x^{2}$

Step 2.3

Add $10000$ and $0$ .

$10000 - x^{2}$

$10000 - x^{2}$

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