Algebra Examples

$\frac{{(x + 2)}^{3}}{(x + 2)}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of ${(x + 2)}^{3}$ and $x + 2$ .

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Step 1.1.1

Factor $x + 2$ out of ${(x + 2)}^{3}$ .

$\frac{(x + 2) {(x + 2)}^{2}}{x + 2}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Multiply by $1$ .

$\frac{(x + 2) {(x + 2)}^{2}}{(x + 2) \cdot 1}$

Step 1.1.2.2

Cancel the common factor.

$\frac{(x + 2) {(x + 2)}^{2}}{(x + 2) \cdot 1}$

Step 1.1.2.3

Rewrite the expression.

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

Step 1.1.2.4

Divide ${(x + 2)}^{2}$ by $1$ .

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

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

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

Step 1.2

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

$(x + 2) (x + 2)$

$(x + 2) (x + 2)$

Step 2

Expand $(x + 2) (x + 2)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$x (x + 2) + 2 (x + 2)$

Step 2.2

Apply the distributive property.

$x \cdot x + x \cdot 2 + 2 (x + 2)$

Step 2.3

Apply the distributive property.

$x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2$

$x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2$

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 $x$ .

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

Step 3.1.2

Move $2$ to the left of $x$ .

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

Step 3.1.3

Multiply $2$ by $2$ .

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

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

Step 3.2

Add $2 x$ and $2 x$ .

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

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

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