Basic Math Examples

$(2 a^{2} + 3 a - 4) - (5 a - 9 - 4 a^{2}) - a^{3}$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 a^{2} + 3 a - 4 - (5 a) - - 9 - (- 4 a^{2}) - a^{3}$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $5$ by $- 1$ .

$2 a^{2} + 3 a - 4 - 5 a - - 9 - (- 4 a^{2}) - a^{3}$

Step 1.2.2

Multiply $- 1$ by $- 9$ .

$2 a^{2} + 3 a - 4 - 5 a + 9 - (- 4 a^{2}) - a^{3}$

Step 1.2.3

Multiply $- 4$ by $- 1$ .

$2 a^{2} + 3 a - 4 - 5 a + 9 + 4 a^{2} - a^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $2 a^{2}$ and $4 a^{2}$ .

$6 a^{2} + 3 a - 4 - 5 a + 9 - a^{3}$

Step 2.2

Subtract $5 a$ from $3 a$ .

$6 a^{2} - 2 a - 4 + 9 - a^{3}$

Step 2.3

Simplify the expression.

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Step 2.3.1

Add $- 4$ and $9$ .

$6 a^{2} - 2 a + 5 - a^{3}$

Step 2.3.2

Move $5$ .

$6 a^{2} - 2 a - a^{3} + 5$

Step 2.3.3

Move $- 2 a$ .

$6 a^{2} - a^{3} - 2 a + 5$

Step 2.3.4

Reorder $6 a^{2}$ and $- a^{3}$ .

$- a^{3} + 6 a^{2} - 2 a + 5$