Algebra Examples

$(- 7 x - 5 x^{4} + 5) - (- 7 x^{4} - 5 - 9 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 7 x - 5 x^{4} + 5 - (- 7 x^{4}) - - 5 - (- 9 x)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 7$ by $- 1$ .

$- 7 x - 5 x^{4} + 5 + 7 x^{4} - - 5 - (- 9 x)$

Step 1.2.2

Multiply $- 1$ by $- 5$ .

$- 7 x - 5 x^{4} + 5 + 7 x^{4} + 5 - (- 9 x)$

Step 1.2.3

Multiply $- 9$ by $- 1$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 7 x$ and $9 x$ .

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

Step 2.2

Add $- 5 x^{4}$ and $7 x^{4}$ .

$2 x + 2 x^{4} + 5 + 5$

Step 2.3

Simplify the expression.

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Step 2.3.1

Add $5$ and $5$ .

$2 x + 2 x^{4} + 10$

Step 2.3.2

Reorder $2 x$ and $2 x^{4}$ .

$2 x^{4} + 2 x + 10$

$2 x^{4} + 2 x + 10$

$2 x^{4} + 2 x + 10$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$