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# Solve the equation $n\left(n-2\right)\left(n+2\right)=n^3-4n$

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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for n
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
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The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$.

$n\left(n^2-4\right)=n^3-4n$

Learn how to solve equations problems step by step online.

$n\left(n^2-4\right)=n^3-4n$

Learn how to solve equations problems step by step online. Solve the equation n(n-2)(n+2)=n^3-4n. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Factor the polynomial n^3-4n by it's greatest common factor (GCF): n. Cancel n from both sides of the equation. Group the terms of the equation by moving the terms that have the variable n to the left side, and those that do not have it to the right side.

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##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

###  Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.