Precalculus Examples

${(x + 3)}^{2} - 4$

Step 1

Simplify each term.

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Step 1.1

Rewrite ${(x + 3)}^{2}$ as $(x + 3) (x + 3)$ .

$(x + 3) (x + 3) - 4$

Step 1.2

Expand $(x + 3) (x + 3)$ using the FOIL Method.

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Step 1.2.1

Apply the distributive property.

$x (x + 3) + 3 (x + 3) - 4$

Step 1.2.2

Apply the distributive property.

$x \cdot x + x \cdot 3 + 3 (x + 3) - 4$

Step 1.2.3

Apply the distributive property.

$x \cdot x + x \cdot 3 + 3 x + 3 \cdot 3 - 4$

$x \cdot x + x \cdot 3 + 3 x + 3 \cdot 3 - 4$

Step 1.3

Simplify and combine like terms.

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Step 1.3.1

Simplify each term.

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Step 1.3.1.1

Multiply $x$ by $x$ .

$x^{2} + x \cdot 3 + 3 x + 3 \cdot 3 - 4$

Step 1.3.1.2

Move $3$ to the left of $x$ .

$x^{2} + 3 \cdot x + 3 x + 3 \cdot 3 - 4$

Step 1.3.1.3

Multiply $3$ by $3$ .

$x^{2} + 3 x + 3 x + 9 - 4$

$x^{2} + 3 x + 3 x + 9 - 4$

Step 1.3.2

Add $3 x$ and $3 x$ .

$x^{2} + 6 x + 9 - 4$

$x^{2} + 6 x + 9 - 4$

$x^{2} + 6 x + 9 - 4$

Step 2

Subtract $4$ from $9$ .

$x^{2} + 6 x + 5$

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