Finite Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $- 1$ by $3$ .

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

Step 1.3

Apply the distributive property.

$3 x - 3 y + 2 y x + 2 y \cdot y$

Step 1.4

Multiply $y$ by $y$ by adding the exponents.

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Step 1.4.1

Move $y$ .

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

Step 1.4.2

Multiply $y$ by $y$ .

$3 x - 3 y + 2 y x + 2 y^{2}$

$3 x - 3 y + 2 y x + 2 y^{2}$

$3 x - 3 y + 2 y x + 2 y^{2}$

Step 2

Reorder.

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Step 2.1

Move $y$ .

$3 x - 3 y + 2 x y + 2 y^{2}$

Step 2.2

Move $- 3 y$ .

$3 x + 2 x y + 2 y^{2} - 3 y$

Step 2.3

Move $3 x$ .

$2 x y + 2 y^{2} + 3 x - 3 y$

$2 x y + 2 y^{2} + 3 x - 3 y$

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