Algebra Examples

$(- 2 x^{4} - 3 x^{5} + 12) - (- 12 x - 7 + 6 x^{5})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 2 x^{4} - 3 x^{5} + 12 - (- 12 x) - - 7 - (6 x^{5})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 12$ by $- 1$ .

$- 2 x^{4} - 3 x^{5} + 12 + 12 x - - 7 - (6 x^{5})$

Step 1.2.2

Multiply $- 1$ by $- 7$ .

$- 2 x^{4} - 3 x^{5} + 12 + 12 x + 7 - (6 x^{5})$

Step 1.2.3

Multiply $6$ by $- 1$ .

$- 2 x^{4} - 3 x^{5} + 12 + 12 x + 7 - 6 x^{5}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6 x^{5}$ from $- 3 x^{5}$ .

$- 2 x^{4} - 9 x^{5} + 12 + 12 x + 7$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $12$ and $7$ .

$- 2 x^{4} - 9 x^{5} + 12 x + 19$

Step 2.2.2

Reorder $- 2 x^{4}$ and $- 9 x^{5}$ .

$- 9 x^{5} - 2 x^{4} + 12 x + 19$