Algebra Examples

$(- 3 + 7 x y) - (2 + 4 x y) - (12 x + 14 x y)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 3 + 7 x y - 1 \cdot 2 - (4 x y) - (12 x + 14 x y)$

Step 1.2

Multiply $- 1$ by $2$ .

$- 3 + 7 x y - 2 - (4 x y) - (12 x + 14 x y)$

Step 1.3

Multiply $4$ by $- 1$ .

$- 3 + 7 x y - 2 - 4 (x y) - (12 x + 14 x y)$

Step 1.4

Apply the distributive property.

$- 3 + 7 x y - 2 - 4 x y - (12 x) - (14 x y)$

Step 1.5

Multiply $12$ by $- 1$ .

$- 3 + 7 x y - 2 - 4 x y - 12 x - (14 x y)$

Step 1.6

Multiply $14$ by $- 1$ .

$- 3 + 7 x y - 2 - 4 x y - 12 x - 14 x y$

$- 3 + 7 x y - 2 - 4 x y - 12 x - 14 x y$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2$ from $- 3$ .

$7 x y - 5 - 4 x y - 12 x - 14 x y$

Step 2.2

Subtract $4 x y$ from $7 x y$ .

$3 x y - 5 - 12 x - 14 x y$

Step 2.3

Subtract $14 x y$ from $3 x y$ .

$- 11 x y - 5 - 12 x$

Step 2.4

Move $- 5$ .

$- 11 x y - 12 x - 5$

$- 11 x y - 12 x - 5$

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