Basic Math Examples

$(9 a^{4} + 1 - 11 a) - (a + 8 a^{2} + 2) - (6 a^{2} - 9)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$9 a^{4} + 1 - 11 a - a - (8 a^{2}) - 1 \cdot 2 - (6 a^{2} - 9)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $8$ by $- 1$ .

$9 a^{4} + 1 - 11 a - a - 8 a^{2} - 1 \cdot 2 - (6 a^{2} - 9)$

Step 1.2.2

Multiply $- 1$ by $2$ .

$9 a^{4} + 1 - 11 a - a - 8 a^{2} - 2 - (6 a^{2} - 9)$

Step 1.3

Apply the distributive property.

$9 a^{4} + 1 - 11 a - a - 8 a^{2} - 2 - (6 a^{2}) - - 9$

Step 1.4

Multiply $6$ by $- 1$ .

$9 a^{4} + 1 - 11 a - a - 8 a^{2} - 2 - 6 a^{2} - - 9$

Step 1.5

Multiply $- 1$ by $- 9$ .

$9 a^{4} + 1 - 11 a - a - 8 a^{2} - 2 - 6 a^{2} + 9$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2$ from $1$ .

$9 a^{4} - 11 a - a - 8 a^{2} - 1 - 6 a^{2} + 9$

Step 2.2

Subtract $a$ from $- 11 a$ .

$9 a^{4} - 12 a - 8 a^{2} - 1 - 6 a^{2} + 9$

Step 2.3

Subtract $6 a^{2}$ from $- 8 a^{2}$ .

$9 a^{4} - 12 a - 14 a^{2} - 1 + 9$

Step 2.4

Simplify the expression.

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Step 2.4.1

Add $- 1$ and $9$ .

$9 a^{4} - 12 a - 14 a^{2} + 8$

Step 2.4.2

Move $- 12 a$ .

$9 a^{4} - 14 a^{2} - 12 a + 8$