Algebra Examples

$(- 2 x + 23 x^{5} + 11) - (5 - 9 x^{3} + x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 2 x + 23 x^{5} + 11 - 1 \cdot 5 - (- 9 x^{3}) - x$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 1$ by $5$ .

$- 2 x + 23 x^{5} + 11 - 5 - (- 9 x^{3}) - x$

Step 1.2.2

Multiply $- 9$ by $- 1$ .

$- 2 x + 23 x^{5} + 11 - 5 + 9 x^{3} - x$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $x$ from $- 2 x$ .

$- 3 x + 23 x^{5} + 11 - 5 + 9 x^{3}$

Step 2.2

Subtract $5$ from $11$ .

$- 3 x + 23 x^{5} + 6 + 9 x^{3}$