Algebra Examples

$- (x + (- (x + y) - (- x + (y - z) - (- x + y)) - y))$

Step 1

Remove parentheses.

$- (x - (x + y) - (- x + y - z - (- x + y)) - y)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- (x - x - y - (- x + y - z - (- x + y)) - y)$

Step 2.2

Simplify each term.

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Step 2.2.1

Apply the distributive property.

$- (x - x - y - (- x + y - z - - x - y) - y)$

Step 2.2.2

Multiply $- - x$ .

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Step 2.2.2.1

Multiply $- 1$ by $- 1$ .

$- (x - x - y - (- x + y - z + 1 x - y) - y)$

Step 2.2.2.2

Multiply $x$ by $1$ .

$- (x - x - y - (- x + y - z + x - y) - y)$

$- (x - x - y - (- x + y - z + x - y) - y)$

$- (x - x - y - (- x + y - z + x - y) - y)$

Step 2.3

Combine the opposite terms in $- x + y - z + x - y$ .

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Step 2.3.1

Add $- x$ and $x$ .

$- (x - x - y - (y - z + 0 - y) - y)$

Step 2.3.2

Add $y - z$ and $0$ .

$- (x - x - y - (y - z - y) - y)$

Step 2.3.3

Subtract $y$ from $y$ .

$- (x - x - y - (- z + 0) - y)$

Step 2.3.4

Add $- z$ and $0$ .

$- (x - x - y - - z - y)$

$- (x - x - y - - z - y)$

Step 2.4

Multiply $- - z$ .

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Step 2.4.1

Multiply $- 1$ by $- 1$ .

$- (x - x - y + 1 z - y)$

Step 2.4.2

Multiply $z$ by $1$ .

$- (x - x - y + z - y)$

$- (x - x - y + z - y)$

$- (x - x - y + z - y)$

Step 3

Simplify terms.

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Step 3.1

Subtract $x$ from $x$ .

$- (0 - y + z - y)$

Step 3.2

Subtract $y$ from $0$ .

$- (- y + z - y)$

Step 3.3

Subtract $y$ from $- y$ .

$- (- 2 y + z)$

Step 3.4

Apply the distributive property.

$- (- 2 y) - z$

Step 3.5

Multiply $- 2$ by $- 1$ .

$2 y - z$

$2 y - z$

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