Basic Math Examples

(a - 3) (a - 2)

$(a - 3) (a - 2)$

Step 1

Expand

(a - 3) (a - 2)

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

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Step 1.1

Apply the distributive property.

a (a - 2) - 3 (a - 2)

$a (a - 2) - 3 (a - 2)$

Step 1.2

Apply the distributive property.

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

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

Step 1.3

Apply the distributive property.

a \cdot a + a \cdot - 2 - 3 a - 3 \cdot - 2

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

a \cdot a + a \cdot - 2 - 3 a - 3 \cdot - 2

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

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

a

$a$ by

a

$a$ .

a^{2} + a \cdot - 2 - 3 a - 3 \cdot - 2

$a^{2} + a \cdot - 2 - 3 a - 3 \cdot - 2$

Step 2.1.2

Move

- 2

$- 2$ to the left of

a

$a$ .

a^{2} - 2 \cdot a - 3 a - 3 \cdot - 2

$a^{2} - 2 \cdot a - 3 a - 3 \cdot - 2$

Step 2.1.3

Multiply

- 3

$- 3$ by

- 2

$- 2$ .

a^{2} - 2 a - 3 a + 6

$a^{2} - 2 a - 3 a + 6$

a^{2} - 2 a - 3 a + 6

$a^{2} - 2 a - 3 a + 6$

Step 2.2

Subtract

3 a

$3 a$ from

- 2 a

$- 2 a$ .

a^{2} - 5 a + 6

$a^{2} - 5 a + 6$

a^{2} - 5 a + 6

$a^{2} - 5 a + 6$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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