Basic Math Examples

$(n + 4) (2 n + 3)$

Step 1

Expand $(n + 4) (2 n + 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$n (2 n + 3) + 4 (2 n + 3)$

Step 1.2

Apply the distributive property.

$n (2 n) + n \cdot 3 + 4 (2 n + 3)$

Step 1.3

Apply the distributive property.

$n (2 n) + n \cdot 3 + 4 (2 n) + 4 \cdot 3$

$n (2 n) + n \cdot 3 + 4 (2 n) + 4 \cdot 3$

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

Rewrite using the commutative property of multiplication.

$2 n \cdot n + n \cdot 3 + 4 (2 n) + 4 \cdot 3$

Step 2.1.2

Multiply $n$ by $n$ by adding the exponents.

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Step 2.1.2.1

Move $n$ .

$2 (n \cdot n) + n \cdot 3 + 4 (2 n) + 4 \cdot 3$

Step 2.1.2.2

Multiply $n$ by $n$ .

$2 n^{2} + n \cdot 3 + 4 (2 n) + 4 \cdot 3$

$2 n^{2} + n \cdot 3 + 4 (2 n) + 4 \cdot 3$

Step 2.1.3

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

$2 n^{2} + 3 \cdot n + 4 (2 n) + 4 \cdot 3$

Step 2.1.4

Multiply $2$ by $4$ .

$2 n^{2} + 3 n + 8 n + 4 \cdot 3$

Step 2.1.5

Multiply $4$ by $3$ .

$2 n^{2} + 3 n + 8 n + 12$

$2 n^{2} + 3 n + 8 n + 12$

Step 2.2

Add $3 n$ and $8 n$ .

$2 n^{2} + 11 n + 12$

$2 n^{2} + 11 n + 12$

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