Trigonometry Examples

${(x + 14)}^{2}$

Step 1

Rewrite ${(x + 14)}^{2}$ as $(x + 14) (x + 14)$ .

$(x + 14) (x + 14)$

Step 2

Expand $(x + 14) (x + 14)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$x (x + 14) + 14 (x + 14)$

Step 2.2

Apply the distributive property.

$x \cdot x + x \cdot 14 + 14 (x + 14)$

Step 2.3

Apply the distributive property.

$x \cdot x + x \cdot 14 + 14 x + 14 \cdot 14$

$x \cdot x + x \cdot 14 + 14 x + 14 \cdot 14$

Step 3

Simplify and combine like terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply $x$ by $x$ .

$x^{2} + x \cdot 14 + 14 x + 14 \cdot 14$

Step 3.1.2

Move $14$ to the left of $x$ .

$x^{2} + 14 \cdot x + 14 x + 14 \cdot 14$

Step 3.1.3

Multiply $14$ by $14$ .

$x^{2} + 14 x + 14 x + 196$

$x^{2} + 14 x + 14 x + 196$

Step 3.2

Add $14 x$ and $14 x$ .

$x^{2} + 28 x + 196$

$x^{2} + 28 x + 196$

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