Examples

$x^{3} + x^{2} + 1$ , $x^{2} + 7 x + 1$

Step 1

Subtract the second expression $x^{2} + 7 x + 1$ from the first expression $x^{3} + x^{2} + 1$ .

$x^{3} + x^{2} + 1 - (x^{2} + 7 x + 1)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$x^{3} + x^{2} + 1 - x^{2} - (7 x) - 1 \cdot 1$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $7$ by $- 1$ .

$x^{3} + x^{2} + 1 - x^{2} - 7 x - 1 \cdot 1$

Step 2.2.2

Multiply $- 1$ by $1$ .

$x^{3} + x^{2} + 1 - x^{2} - 7 x - 1$

Step 3

Combine the opposite terms in $x^{3} + x^{2} + 1 - x^{2} - 7 x - 1$ .

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Step 3.1

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

$x^{3} + 0 + 1 - 7 x - 1$

Step 3.2

Add $x^{3}$ and $0$ .

$x^{3} + 1 - 7 x - 1$

Step 3.3

Subtract $1$ from $1$ .

$x^{3} - 7 x + 0$

Step 3.4

Add $x^{3} - 7 x$ and $0$ .

$x^{3} - 7 x$

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