Precalculus Examples

${(x + 1)}^{2}$

Step 1

Rewrite ${(x + 1)}^{2}$ as $(x + 1) (x + 1)$ .

$(x + 1) (x + 1)$

Step 2

Expand $(x + 1) (x + 1)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$x (x + 1) + 1 (x + 1)$

Step 2.2

Apply the distributive property.

$x \cdot x + x \cdot 1 + 1 (x + 1)$

Step 2.3

Apply the distributive property.

$x \cdot x + x \cdot 1 + 1 x + 1 \cdot 1$

$x \cdot x + x \cdot 1 + 1 x + 1 \cdot 1$

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 $x$ .

$x^{2} + x \cdot 1 + 1 x + 1 \cdot 1$

Step 3.1.2

Multiply $x$ by $1$ .

$x^{2} + x + 1 x + 1 \cdot 1$

Step 3.1.3

Multiply $x$ by $1$ .

$x^{2} + x + x + 1 \cdot 1$

Step 3.1.4

Multiply $1$ by $1$ .

$x^{2} + x + x + 1$

$x^{2} + x + x + 1$

Step 3.2

Add $x$ and $x$ .

$x^{2} + 2 x + 1$

$x^{2} + 2 x + 1$

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