How to solve (-(x)/(2y))^(2)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (-(x)/(2y))^(2) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$${ \left(- \frac{ x }{ 2y } \right) }^{ 2 }$$

Evaluate

$\frac{\left(\frac{x}{y}\right)^{2}}{4}$

Solution Steps

Calculate $-\frac{x}{2y}$ to the power of $2$ and get $\left(\frac{x}{2y}\right)^{2}$.

$$\left(\frac{x}{2y}\right)^{2}$$

To raise $\frac{x}{2y}$ to a power, raise both numerator and denominator to the power and then divide.

$$\frac{x^{2}}{\left(2y\right)^{2}}$$

Expand $\left(2y\right)^{2}$.

$$\frac{x^{2}}{2^{2}y^{2}}$$

Calculate $2$ to the power of $2$ and get $4$.

$$\frac{x^{2}}{4y^{2}}$$

Show Solution

Expand

$\frac{\left(\frac{x}{y}\right)^{2}}{4}$

Solution Steps

Calculate $-\frac{x}{2y}$ to the power of $2$ and get $\left(\frac{x}{2y}\right)^{2}$.

$$\left(\frac{x}{2y}\right)^{2}$$

To raise $\frac{x}{2y}$ to a power, raise both numerator and denominator to the power and then divide.

$$\frac{x^{2}}{\left(2y\right)^{2}}$$

Expand $\left(2y\right)^{2}$.

$$\frac{x^{2}}{2^{2}y^{2}}$$

Calculate $2$ to the power of $2$ and get $4$.

$$\frac{x^{2}}{4y^{2}}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

Expand

Solution Steps