Algebra Examples

$x^{2} + x + 1$ , $x^{2} + 8 x + 1$

Step 1

Subtract the second expression $x^{2} + 8 x + 1$ from the first expression $x^{2} + x + 1$ .

$x^{2} + x + 1 - (x^{2} + 8 x + 1)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$x^{2} + x + 1 - x^{2} - (8 x) - 1 \cdot 1$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $8$ by $- 1$ .

$x^{2} + x + 1 - x^{2} - 8 x - 1 \cdot 1$

Step 2.2.2

Multiply $- 1$ by $1$ .

$x^{2} + x + 1 - x^{2} - 8 x - 1$

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $x^{2} + x + 1 - x^{2} - 8 x - 1$ .

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Step 3.1.1

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

$x + 1 + 0 - 8 x - 1$

Step 3.1.2

Add $x + 1$ and $0$ .

$x + 1 - 8 x - 1$

Step 3.1.3

Subtract $1$ from $1$ .

$x - 8 x + 0$

Step 3.1.4

Add $x - 8 x$ and $0$ .

$x - 8 x$

Step 3.2

Subtract $8 x$ from $x$ .

$- 7 x$