Algebra Examples

$3 - (2 x - (1 - (x + y)) + (x - 2 y))$

Step 1

Remove parentheses.

$3 - (2 x - (1 - (x + y)) + x - 2 y)$

Step 2

Simplify each term.

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$3 - (2 x - (1 - x - y) + x - 2 y)$

Step 2.1.2

Apply the distributive property.

$3 - (2 x - 1 \cdot 1 - - x - - y + x - 2 y)$

Step 2.1.3

Simplify.

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Step 2.1.3.1

Multiply $- 1$ by $1$ .

$3 - (2 x - 1 - - x - - y + x - 2 y)$

Step 2.1.3.2

Multiply $- - x$ .

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Step 2.1.3.2.1

Multiply $- 1$ by $- 1$ .

$3 - (2 x - 1 + 1 x - - y + x - 2 y)$

Step 2.1.3.2.2

Multiply $x$ by $1$ .

$3 - (2 x - 1 + x - - y + x - 2 y)$

$3 - (2 x - 1 + x - - y + x - 2 y)$

Step 2.1.3.3

Multiply $- - y$ .

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Step 2.1.3.3.1

Multiply $- 1$ by $- 1$ .

$3 - (2 x - 1 + x + 1 y + x - 2 y)$

Step 2.1.3.3.2

Multiply $y$ by $1$ .

$3 - (2 x - 1 + x + y + x - 2 y)$

$3 - (2 x - 1 + x + y + x - 2 y)$

$3 - (2 x - 1 + x + y + x - 2 y)$

$3 - (2 x - 1 + x + y + x - 2 y)$

Step 2.2

Add $2 x$ and $x$ .

$3 - (3 x - 1 + y + x - 2 y)$

Step 2.3

Add $3 x$ and $x$ .

$3 - (4 x - 1 + y - 2 y)$

Step 2.4

Subtract $2 y$ from $y$ .

$3 - (4 x - 1 - y)$

Step 2.5

Apply the distributive property.

$3 - (4 x) - - 1 - - y$

Step 2.6

Simplify.

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Step 2.6.1

Multiply $4$ by $- 1$ .

$3 - 4 x - - 1 - - y$

Step 2.6.2

Multiply $- 1$ by $- 1$ .

$3 - 4 x + 1 - - y$

Step 2.6.3

Multiply $- - y$ .

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Step 2.6.3.1

Multiply $- 1$ by $- 1$ .

$3 - 4 x + 1 + 1 y$

Step 2.6.3.2

Multiply $y$ by $1$ .

$3 - 4 x + 1 + y$

$3 - 4 x + 1 + y$

$3 - 4 x + 1 + y$

$3 - 4 x + 1 + y$

Step 3

Simplify the expression.

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Step 3.1

Add $3$ and $1$ .

$- 4 x + 4 + y$

Step 3.2

Move $4$ .

$- 4 x + y + 4$

$- 4 x + y + 4$

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