Algebra Examples

$- 10 x^{2} - x + 6$ and $10 x^{2} - 5$

Step 1

Subtract the second expression $10 x^{2} - 5$ from the first expression $- 10 x^{2} - x + 6$ .

$- 10 x^{2} - x + 6 - (10 x^{2} - 5)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 10 x^{2} - x + 6 - (10 x^{2}) - - 5$

Step 2.2

Multiply $10$ by $- 1$ .

$- 10 x^{2} - x + 6 - 10 x^{2} - - 5$

Step 2.3

Multiply $- 1$ by $- 5$ .

$- 10 x^{2} - x + 6 - 10 x^{2} + 5$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $10 x^{2}$ from $- 10 x^{2}$ .

$- 20 x^{2} - x + 6 + 5$

Step 3.2

Add $6$ and $5$ .

$- 20 x^{2} - x + 11$