Basic Math Examples

$(l + 2) (8 l + 4)$

Step 1

Expand $(l + 2) (8 l + 4)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$l (8 l + 4) + 2 (8 l + 4)$

Step 1.2

Apply the distributive property.

$l (8 l) + l \cdot 4 + 2 (8 l + 4)$

Step 1.3

Apply the distributive property.

$l (8 l) + l \cdot 4 + 2 (8 l) + 2 \cdot 4$

$l (8 l) + l \cdot 4 + 2 (8 l) + 2 \cdot 4$

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.

$8 l \cdot l + l \cdot 4 + 2 (8 l) + 2 \cdot 4$

Step 2.1.2

Multiply $l$ by $l$ by adding the exponents.

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Step 2.1.2.1

Move $l$ .

$8 (l \cdot l) + l \cdot 4 + 2 (8 l) + 2 \cdot 4$

Step 2.1.2.2

Multiply $l$ by $l$ .

$8 l^{2} + l \cdot 4 + 2 (8 l) + 2 \cdot 4$

$8 l^{2} + l \cdot 4 + 2 (8 l) + 2 \cdot 4$

Step 2.1.3

Move $4$ to the left of $l$ .

$8 l^{2} + 4 \cdot l + 2 (8 l) + 2 \cdot 4$

Step 2.1.4

Multiply $8$ by $2$ .

$8 l^{2} + 4 l + 16 l + 2 \cdot 4$

Step 2.1.5

Multiply $2$ by $4$ .

$8 l^{2} + 4 l + 16 l + 8$

$8 l^{2} + 4 l + 16 l + 8$

Step 2.2

Add $4 l$ and $16 l$ .

$8 l^{2} + 20 l + 8$

$8 l^{2} + 20 l + 8$

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