Precalculus Examples

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $x$ by $x$ by adding the exponents.

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Step 2.1

Move $x$ .

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

Step 2.2

Multiply $x$ by $x$ .

$- 3 x^{2} y \cdot 4 - 3 x y \cdot y$

$- 3 x^{2} y \cdot 4 - 3 x y \cdot y$

Step 3

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

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Step 3.1

Move $y$ .

$- 3 x^{2} y \cdot 4 - 3 x (y \cdot y)$

Step 3.2

Multiply $y$ by $y$ .

$- 3 x^{2} y \cdot 4 - 3 x y^{2}$

$- 3 x^{2} y \cdot 4 - 3 x y^{2}$

Step 4

Multiply $4$ by $- 3$ .

$- 12 x^{2} y - 3 x y^{2}$

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