Algebra Examples

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

Step 1

Apply the distributive property.

$4 x + 4 \cdot - 3 - x (y + 2)$

Step 2

Multiply $4$ by $- 3$ .

$4 x - 12 - x (y + 2)$

Step 3

Apply the distributive property.

$4 x - 12 - x y - x \cdot 2$

Step 4

Multiply $2$ by $- 1$ .

$4 x - 12 - x y - 2 x$

Step 5

Subtract $2 x$ from $4 x$ .

$2 x - 12 - x y$

Step 6

Factor $- 1$ out of $2 x - 12 - x y$ .

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Step 6.1

Reorder the expression.

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Step 6.1.1

Move $- 12$ .

$2 x - x y - 12$

Step 6.1.2

Reorder $2 x$ and $- x y$ .

$- x y + 2 x - 12$

$- x y + 2 x - 12$

Step 6.2

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

$- (x y) + 2 x - 12$

Step 6.3

Factor $- 1$ out of $2 x$ .

$- (x y) - (- 2 x) - 12$

Step 6.4

Rewrite $- 12$ as $- 1 (12)$ .

$- (x y) - (- 2 x) - 1 (12)$

Step 6.5

Factor $- 1$ out of $- (x y) - (- 2 x)$ .

$- (x y - 2 x) - 1 (12)$

Step 6.6

Factor $- 1$ out of $- (x y - 2 x) - 1 (12)$ .

$- (x y - 2 x + 12)$

$- (x y - 2 x + 12)$

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