Precalculus Examples

$(a + 2 b) (a - 2)$

Step 1

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

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Step 1.1

Apply the distributive property.

$a (a - 2) + 2 b (a - 2)$

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

$a \cdot a + a \cdot - 2 + 2 b a + 2 b \cdot - 2$

$a \cdot a + a \cdot - 2 + 2 b a + 2 b \cdot - 2$

Step 2

Simplify terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $a$ by $a$ .

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

Step 2.1.2

Move $- 2$ to the left of $a$ .

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

Step 2.1.3

Multiply $- 2$ by $2$ .

$a^{2} - 2 a + 2 b a - 4 b$

$a^{2} - 2 a + 2 b a - 4 b$

Step 2.2

Simplify the expression.

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Step 2.2.1

Move $b$ .

$a^{2} - 2 a + 2 a b - 4 b$

Step 2.2.2

Move $- 2 a$ .

$a^{2} + 2 a b - 4 b - 2 a$

Step 2.2.3

Reorder $a^{2}$ and $2 a b$ .

$2 a b + a^{2} - 4 b - 2 a$

$2 a b + a^{2} - 4 b - 2 a$

$2 a b + a^{2} - 4 b - 2 a$

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