Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $- 4$ by $2$ .

$a (2 a - 8 - 4 a)$

Step 2

Simplify terms.

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Step 2.1

Subtract $4 a$ from $2 a$ .

$a (- 2 a - 8)$

Step 2.2

Apply the distributive property.

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

Step 2.3

Reorder.

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Step 2.3.1

Rewrite using the commutative property of multiplication.

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

Step 2.3.2

Move $- 8$ to the left of $a$ .

$- 2 a \cdot a - 8 \cdot a$

Step 3

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

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Step 3.1

Move $a$ .

$- 2 (a \cdot a) - 8 \cdot a$

Step 3.2

Multiply $a$ by $a$ .

$- 2 a^{2} - 8 \cdot a$

$- 2 a^{2} - 8 a$