Basic Math Examples

$2 y (y - 1) - \sqrt{4 y^{4}}$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 y \cdot y + 2 y \cdot - 1 - \sqrt{4 y^{4}}$

Step 1.2

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

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Step 1.2.1

Move $y$ .

$2 (y \cdot y) + 2 y \cdot - 1 - \sqrt{4 y^{4}}$

Step 1.2.2

Multiply $y$ by $y$ .

$2 y^{2} + 2 y \cdot - 1 - \sqrt{4 y^{4}}$

Step 1.3

Multiply $- 1$ by $2$ .

$2 y^{2} - 2 y - \sqrt{4 y^{4}}$

Step 1.4

Rewrite $4 y^{4}$ as ${(2 y^{2})}^{2}$ .

$2 y^{2} - 2 y - \sqrt{{(2 y^{2})}^{2}}$

Step 1.5

Pull terms out from under the radical, assuming positive real numbers.

$2 y^{2} - 2 y - (2 y^{2})$

Step 1.6

Multiply $2$ by $- 1$ .

$2 y^{2} - 2 y - 2 y^{2}$

Step 2

Combine the opposite terms in $2 y^{2} - 2 y - 2 y^{2}$ .

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Step 2.1

Subtract $2 y^{2}$ from $2 y^{2}$ .

$- 2 y + 0$

Step 2.2

Add $- 2 y$ and $0$ .

$- 2 y$