Algebra Examples

$x (x - 2 y) - (y - x) \cdot 2$

Step 1

Apply the distributive property.

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

Step 2

Multiply $x$ by $x$ .

$x^{2} + x (- 2 y) - (y - x) \cdot 2$

Step 3

Rewrite using the commutative property of multiplication.

$x^{2} - 2 x y - (y - x) \cdot 2$

Step 4

Apply the distributive property.

$x^{2} - 2 x y + (- y - - x) \cdot 2$

Step 5

Multiply $- - x$ .

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Step 5.1

Multiply $- 1$ by $- 1$ .

$x^{2} - 2 x y + (- y + 1 x) \cdot 2$

Step 5.2

Multiply $x$ by $1$ .

$x^{2} - 2 x y + (- y + x) \cdot 2$

$x^{2} - 2 x y + (- y + x) \cdot 2$

Step 6

Apply the distributive property.

$x^{2} - 2 x y - y \cdot 2 + x \cdot 2$

Step 7

Multiply $2$ by $- 1$ .

$x^{2} - 2 x y - 2 y + x \cdot 2$

Step 8

Move $2$ to the left of $x$ .

$x^{2} - 2 x y - 2 y + 2 x$

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