How to solve (4x)^(2) imes2x

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 (4x)^(2)\times2x | Equatix

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Question

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

Evaluate

$32x^{3}$

Solution Steps

Expand $\left(4x\right)^{2}$.

$$4^{2}x^{2}\times 2x$$

Calculate $4$ to the power of $2$ and get $16$.

$$16x^{2}\times 2x$$

Multiply $16$ and $2$ to get $32$.

$$32x^{2}x$$

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$32x^{3}$$

Show Solution

Expand

$32x^{3}$

Solution Steps

Expand $\left(4x\right)^{2}$.

$$4^{2}x^{2}\times 2x$$

Calculate $4$ to the power of $2$ and get $16$.

$$16x^{2}\times 2x$$

Multiply $16$ and $2$ to get $32$.

$$32x^{2}x$$

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$32x^{3}$$

Show Solution

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Question

Evaluate

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Solution Steps