Algebra Examples

$(x^{2} - x - 6) - (x^{2} - x - 6)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$x^{2} - x - 6 - x^{2} - - x - - 6$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- - x$ .

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Step 1.2.1.1

Multiply $- 1$ by $- 1$ .

$x^{2} - x - 6 - x^{2} + 1 x - - 6$

Step 1.2.1.2

Multiply $x$ by $1$ .

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

Step 1.2.2

Multiply $- 1$ by $- 6$ .

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

Step 2

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

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Step 2.1

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

$- x - 6 + 0 + x + 6$

Step 2.2

Add $- x - 6$ and $0$ .

$- x - 6 + x + 6$

Step 2.3

Add $- x$ and $x$ .

$0 - 6 + 6$

Step 2.4

Subtract $6$ from $0$ .

$- 6 + 6$

Step 2.5

Add $- 6$ and $6$ .

$0$

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