Basic Math Examples

$(3 - 2 a) \cdot (4 + a)$

Step 1

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

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Step 1.1

Apply the distributive property.

$3 (4 + a) - 2 a (4 + a)$

Step 1.2

Apply the distributive property.

$3 \cdot 4 + 3 a - 2 a (4 + a)$

Step 1.3

Apply the distributive property.

$3 \cdot 4 + 3 a - 2 a \cdot 4 - 2 a \cdot a$

$3 \cdot 4 + 3 a - 2 a \cdot 4 - 2 a \cdot a$

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

Multiply $3$ by $4$ .

$12 + 3 a - 2 a \cdot 4 - 2 a \cdot a$

Step 2.1.2

Multiply $4$ by $- 2$ .

$12 + 3 a - 8 a - 2 a \cdot a$

Step 2.1.3

Multiply $a$ by $a$ by adding the exponents.

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Step 2.1.3.1

Move $a$ .

$12 + 3 a - 8 a - 2 (a \cdot a)$

Step 2.1.3.2

Multiply $a$ by $a$ .

$12 + 3 a - 8 a - 2 a^{2}$

$12 + 3 a - 8 a - 2 a^{2}$

$12 + 3 a - 8 a - 2 a^{2}$

Step 2.2

Subtract $8 a$ from $3 a$ .

$12 - 5 a - 2 a^{2}$

$12 - 5 a - 2 a^{2}$

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