How to solve (K(2+K-1)^(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 (K(2+K-1)^(2) | Equatix

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Question

$$(K { \left(2+K-1 \right) }^{ 2 }$$

Evaluate

$K\left(K+1\right)^{2}$

Solution Steps

Subtract $1$ from $2$ to get $1$.

$$K\left(1+K\right)^{2}$$

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(1+K\right)^{2}$.

$$K\left(1+2K+K^{2}\right)$$

Use the distributive property to multiply $K$ by $1+2K+K^{2}$.

$$K+2K^{2}+K^{3}$$

Show Solution

Expand

$K^{3}+2K^{2}+K$

Solution Steps

Subtract $1$ from $2$ to get $1$.

$$K\left(1+K\right)^{2}$$

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(1+K\right)^{2}$.

$$K\left(1+2K+K^{2}\right)$$

Use the distributive property to multiply $K$ by $1+2K+K^{2}$.

$$K+2K^{2}+K^{3}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

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Solution Steps