Basic Math Examples

$6 a^{2} (a - 1) + 4 (1 - a)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 a^{2} a + 6 a^{2} \cdot - 1 + 4 (1 - a)$

Step 1.2

Multiply $a^{2}$ by $a$ by adding the exponents.

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Step 1.2.1

Move $a$ .

$6 (a \cdot a^{2}) + 6 a^{2} \cdot - 1 + 4 (1 - a)$

Step 1.2.2

Multiply $a$ by $a^{2}$ .

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Step 1.2.2.1

Raise $a$ to the power of $1$ .

$6 (a^{1} a^{2}) + 6 a^{2} \cdot - 1 + 4 (1 - a)$

Step 1.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6 a^{1 + 2} + 6 a^{2} \cdot - 1 + 4 (1 - a)$

Step 1.2.3

Add $1$ and $2$ .

$6 a^{3} + 6 a^{2} \cdot - 1 + 4 (1 - a)$

Step 1.3

Multiply $- 1$ by $6$ .

$6 a^{3} - 6 a^{2} + 4 (1 - a)$

Step 1.4

Apply the distributive property.

$6 a^{3} - 6 a^{2} + 4 \cdot 1 + 4 (- a)$

Step 1.5

Multiply $4$ by $1$ .

$6 a^{3} - 6 a^{2} + 4 + 4 (- a)$

Step 1.6

Multiply $- 1$ by $4$ .

$6 a^{3} - 6 a^{2} + 4 - 4 a$

Step 2

Move $4$ .

$6 a^{3} - 6 a^{2} - 4 a + 4$