Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $9$ by $- 1$ .

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

Step 1.2.2

Multiply $6$ by $- 1$ .

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

Step 1.2.3

Multiply $- 1$ by $- 4$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $9 a^{2}$ from $- 2 a^{2}$ .

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

Step 2.2

Subtract $6 a$ from $2 a$ .

$- 11 a^{2} - 4 a + 9 + 4$

Step 2.3

Add $9$ and $4$ .

$- 11 a^{2} - 4 a + 13$

$- 11 a^{2} - 4 a + 13$

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