Trigonometry Examples

$(4 + x) (4 - x)$

Step 1

Expand $(4 + x) (4 - x)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$4 (4 - x) + x (4 - x)$

Step 1.2

Apply the distributive property.

$4 \cdot 4 + 4 (- x) + x (4 - x)$

Step 1.3

Apply the distributive property.

$4 \cdot 4 + 4 (- x) + x \cdot 4 + x (- x)$

$4 \cdot 4 + 4 (- x) + x \cdot 4 + x (- x)$

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 $4$ by $4$ .

$16 + 4 (- x) + x \cdot 4 + x (- x)$

Step 2.1.2

Multiply $- 1$ by $4$ .

$16 - 4 x + x \cdot 4 + x (- x)$

Step 2.1.3

Move $4$ to the left of $x$ .

$16 - 4 x + 4 \cdot x + x (- x)$

Step 2.1.4

Rewrite using the commutative property of multiplication.

$16 - 4 x + 4 x - x \cdot x$

Step 2.1.5

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

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Step 2.1.5.1

Move $x$ .

$16 - 4 x + 4 x - (x \cdot x)$

Step 2.1.5.2

Multiply $x$ by $x$ .

$16 - 4 x + 4 x - x^{2}$

$16 - 4 x + 4 x - x^{2}$

$16 - 4 x + 4 x - x^{2}$

Step 2.2

Add $- 4 x$ and $4 x$ .

$16 + 0 - x^{2}$

Step 2.3

Add $16$ and $0$ .

$16 - x^{2}$

$16 - x^{2}$

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