How to solve (2x)^(2)-(x)^(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 (2x)^(2)-(x)^(2) | Equatix

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Question

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

Evaluate

$3x^{2}$

Solution Steps

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

$$2^{2}x^{2}-x^{2}$$

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

$$4x^{2}-x^{2}$$

Combine $4x^{2}$ and $-x^{2}$ to get $3x^{2}$.

$$3x^{2}$$

Show Solution

Expand

$3x^{2}$

Solution Steps

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

$$2^{2}x^{2}-x^{2}$$

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

$$4x^{2}-x^{2}$$

Combine $4x^{2}$ and $-x^{2}$ to get $3x^{2}$.

$$3x^{2}$$

Show Solution

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Question

Evaluate

Solution Steps

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Solution Steps