Calculus Examples

$- x^{2} + 10 x - 9 - (x^{2} - 6 x + 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- x^{2} + 10 x - 9 - x^{2} - (- 6 x) - 1 \cdot 5$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 6$ by $- 1$ .

$- x^{2} + 10 x - 9 - x^{2} + 6 x - 1 \cdot 5$

Step 1.2.2

Multiply $- 1$ by $5$ .

$- x^{2} + 10 x - 9 - x^{2} + 6 x - 5$

Step 2

Simplify by adding terms.

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Step 2.1

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

$- 2 x^{2} + 10 x - 9 + 6 x - 5$

Step 2.2

Add $10 x$ and $6 x$ .

$- 2 x^{2} + 16 x - 9 - 5$

Step 2.3

Subtract $5$ from $- 9$ .

$- 2 x^{2} + 16 x - 14$