Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 a^{2} - 5 a - 4 - (- 5 a^{2}) - (5 a) - 1 \cdot 4$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 5$ by $- 1$ .

$5 a^{2} - 5 a - 4 + 5 a^{2} - (5 a) - 1 \cdot 4$

Step 1.2.2

Multiply $5$ by $- 1$ .

$5 a^{2} - 5 a - 4 + 5 a^{2} - 5 a - 1 \cdot 4$

Step 1.2.3

Multiply $- 1$ by $4$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

Add $5 a^{2}$ and $5 a^{2}$ .

$10 a^{2} - 5 a - 4 - 5 a - 4$

Step 2.2

Subtract $5 a$ from $- 5 a$ .

$10 a^{2} - 10 a - 4 - 4$

Step 2.3

Subtract $4$ from $- 4$ .

$10 a^{2} - 10 a - 8$