Pre-Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 5$ by $- 1$ .

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

Step 1.2.2

Multiply $- 1$ by $6$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $x^{2} - 9 - x^{2} + 5 x - 6$ .

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Step 2.1.1

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

$0 - 9 + 5 x - 6$

Step 2.1.2

Subtract $9$ from $0$ .

$- 9 + 5 x - 6$

Step 2.2

Subtract $6$ from $- 9$ .

$5 x - 15$

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