Algebra Examples

$x^{3} + 9 x^{4} - 1$ , $x^{4} + 1 + x$

Step 1

Subtract the second expression $x^{4} + 1 + x$ from the first expression $x^{3} + 9 x^{4} - 1$ .

$x^{3} + 9 x^{4} - 1 - (x^{4} + 1 + x)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$x^{3} + 9 x^{4} - 1 - x^{4} - 1 \cdot 1 - x$

Step 2.2

Multiply $- 1$ by $1$ .

$x^{3} + 9 x^{4} - 1 - x^{4} - 1 - x$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $x^{4}$ from $9 x^{4}$ .

$x^{3} + 8 x^{4} - 1 - 1 - x$

Step 3.2

Simplify the expression.

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Step 3.2.1

Subtract $1$ from $- 1$ .

$x^{3} + 8 x^{4} - 2 - x$

Step 3.2.2

Move $- 2$ .

$x^{3} + 8 x^{4} - x - 2$

Step 3.2.3

Reorder $x^{3}$ and $8 x^{4}$ .

$8 x^{4} + x^{3} - x - 2$