Algebra Examples

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

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 3$ by $- 1$ .

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

Step 2.2.2

Multiply $2$ by $- 1$ .

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

Step 2.2.3

Multiply $- 1$ by $- 5$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 2 a^{2}$ and $3 a^{2}$ .

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

Step 3.2

Subtract $2 a$ from $a$ .

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

Step 3.3

Add $6$ and $5$ .

$a^{2} - a + 11$