Algebra Examples

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

Step 1

Regroup terms.

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

Step 2

Factor $- 1$ out of $- 5 x^{4} + 5 - (- 7 x^{4} - 5 - 9 x)$ .

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Step 2.1

Reorder the expression.

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Step 2.1.1

Move $- 5$ .

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

Step 2.1.2

Move $5$ .

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

Step 2.2

Factor $- 1$ out of $- 5 x^{4}$ .

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

Step 2.3

Rewrite $5$ as $- 1 (- 5)$ .

$- 7 x - (5 x^{4}) - (- 7 x^{4} - 9 x - 5) - 1 (- 5)$

Step 2.4

Factor $- 1$ out of $- (5 x^{4}) - (- 7 x^{4} - 9 x - 5)$ .

$- 7 x - (5 x^{4} - 7 x^{4} - 9 x - 5) - 1 (- 5)$

Step 2.5

Factor $- 1$ out of $- (5 x^{4} - 7 x^{4} - 9 x - 5) - 1 (- 5)$ .

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

Step 3

Regroup terms.

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

Step 4

Subtract $5$ from $- 5$ .

$- 7 x - (- 7 x^{4} + 5 x^{4} - 9 x - 10)$

Step 5

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

$- 7 x - (- 2 x^{4} - 9 x - 10)$

Step 6

Factor.

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Step 6.1

Factor $- 1$ out of $- 2 x^{4} - 9 x - 10$ .

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Step 6.1.1

Factor $- 1$ out of $- 2 x^{4}$ .

$- 7 x - (- (2 x^{4}) - 9 x - 10)$

Step 6.1.2

Factor $- 1$ out of $- 9 x$ .

$- 7 x - (- (2 x^{4}) - (9 x) - 10)$

Step 6.1.3

Rewrite $- 10$ as $- 1 (10)$ .

$- 7 x - (- (2 x^{4}) - (9 x) - 1 (10))$

Step 6.1.4

Factor $- 1$ out of $- (2 x^{4}) - (9 x)$ .

$- 7 x - (- (2 x^{4} + 9 x) - 1 (10))$

Step 6.1.5

Factor $- 1$ out of $- (2 x^{4} + 9 x) - 1 (10)$ .

$- 7 x - - (2 x^{4} + 9 x + 10)$

Step 6.2

Remove unnecessary parentheses.

$- 7 x - - 1 (2 x^{4} + 9 x + 10)$

Step 7

Combine exponents.

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Step 7.1

Factor out negative.

$- 7 x - - (2 x^{4} + 9 x + 10)$

Step 7.2

Multiply $- 1$ by $- 1$ .

$- 7 x + 1 (2 x^{4} + 9 x + 10)$

Step 7.3

Multiply $2 x^{4} + 9 x + 10$ by $1$ .

$- 7 x + 2 x^{4} + 9 x + 10$

Step 8

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

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

Step 9

Factor $2$ out of $2 x^{4} + 2 x + 10$ .

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Step 9.1

Factor $2$ out of $2 x^{4}$ .

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

Step 9.2

Factor $2$ out of $2 x$ .

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

Step 9.3

Factor $2$ out of $10$ .

$2 (x^{4}) + 2 x + 2 \cdot 5$

Step 9.4

Factor $2$ out of $2 (x^{4}) + 2 x$ .

$2 (x^{4} + x) + 2 \cdot 5$

Step 9.5

Factor $2$ out of $2 (x^{4} + x) + 2 \cdot 5$ .

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