Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 3 a^{2} + 2 a - 5 - (- 2 a^{2}) - a - 1 \cdot 6$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 2$ by $- 1$ .

$- 3 a^{2} + 2 a - 5 + 2 a^{2} - a - 1 \cdot 6$

Step 1.2.2

Multiply $- 1$ by $6$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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

Step 2.2

Subtract $a$ from $2 a$ .

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

Step 2.3

Subtract $6$ from $- 5$ .

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