Algebra Examples

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

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

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

Simplify each term.

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Apply the distributive property.

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

Multiply $2$ by $- 1$ .

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

Simplify by adding terms.

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

$x^{3} + 0 + 1 - 2 x$

Simplify the expression.

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

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

Move $1$ .

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

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