Pre-Algebra Examples

$\frac{2}{5} x (5 y) (- 2 x)$

Step 1

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

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Step 1.1

Move $x$ .

$\frac{2}{5} \cdot (x \cdot x (5 y) \cdot - 2)$

Step 1.2

Multiply $x$ by $x$ .

$\frac{2}{5} \cdot (x^{2} (5 y) \cdot - 2)$

$\frac{2}{5} \cdot (x^{2} (5 y) \cdot - 2)$

Step 2

Simplify the expression.

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Step 2.1

Rewrite using the commutative property of multiplication.

$\frac{2}{5} \cdot (5 x^{2} y \cdot - 2)$

Step 2.2

Multiply $- 2$ by $5$ .

$\frac{2}{5} \cdot (- 10 x^{2} y)$

$\frac{2}{5} \cdot (- 10 x^{2} y)$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $- 10 x^{2} y$ .

$\frac{2}{5} \cdot (5 (- 2 x^{2} y))$

Step 3.2

Cancel the common factor.

$\frac{2}{5} \cdot (5 (- 2 x^{2} y))$

Step 3.3

Rewrite the expression.

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

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

Step 4

Multiply $- 2$ by $2$ .

$- 4 x^{2} y$

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