Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 2$ by $- 1$ .

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

Step 1.2.2

Multiply $- 1$ by $- 6$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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

Step 2.2

Add $3 a$ and $2 a$ .

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

Step 2.3

Add $- 4$ and $6$ .

$a^{2} + 5 a + 2$

$a^{2} + 5 a + 2$

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