How do I "step by step" (nx)^2?

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In summary, to solve a quadratic equation using the "step by step" method, you need to determine the values of n and x, substitute them into the equation (nx)^2, follow the correct order of operations, and simplify any terms. This method is commonly used in scientific experiments to break down complex calculations and can be applied to real-world scenarios, such as calculating the force of gravity. It is important to avoid common mistakes such as not following the correct order of operations and making errors in substitution. "Step by step" (nx)^2 is a simplified method compared to solving algebraically, which involves using algebraic techniques and manipulating equations.
  • #1
Observeraren
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for example 3x^2 + (3x)^2 is 12x^2

But i don't remember how to brake down (3x)^2 step by step
 
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  • #2
You can distribute exponents across multiplication. ##(AB)^2=A^2B^2. ##
 
  • #3
##(3x)^2## means two factors of 3x; i.e., 3x times 3x.
 
  • #4
(AB)² = (AB)*(AB) = ABAB = AABB = A²B²
 
  • #5
Oh my, I had a gut feeling it would be something this simple that I've forgot! haha thanks alot! ^^
 

FAQ: How do I "step by step" (nx)^2?

How do I "step by step" (nx)^2 when solving a quadratic equation?

To solve a quadratic equation using the "step by step" method, you need to first determine the values of n and x. Once you have these values, substitute them into the equation (nx)^2 and solve for the result. Make sure to follow the correct order of operations and simplify any terms before proceeding to the next step.

What is the purpose of "step by step" (nx)^2 in a scientific experiment?

The "step by step" method is commonly used in scientific experiments to break down complex calculations into smaller, more manageable steps. (nx)^2 is often used to represent a squared variable in a formula, and by solving it step by step, scientists can better understand the relationship between different variables in their experiment.

Can you provide an example of "step by step" (nx)^2 in a real-world scenario?

Sure! Let's say you are trying to calculate the force of gravity (F) on a mass (m) at a certain distance (r) from the center of the Earth. The formula for this is F = Gm/r^2, where G is the universal gravitational constant. To solve this equation step by step, you would first square the distance (r^2) and then multiply it by the mass (m) and the gravitational constant (G). This would give you the final result of the force of gravity (F).

Are there any common mistakes to avoid when using "step by step" (nx)^2?

One common mistake to avoid is not following the correct order of operations. Make sure to solve any exponents or square roots first before moving on to multiplication or division. Also, be careful when substituting values for n and x into the equation - a simple error in calculation can lead to an incorrect answer.

How does "step by step" (nx)^2 differ from solving the same equation algebraically?

The "step by step" method is a more simplified and systematic approach to solving equations, whereas solving algebraically involves using algebraic techniques and manipulating equations to find the solution. "Step by step" (nx)^2 may be easier for beginners or for simpler equations, while algebraic methods are useful for more complex equations and often provide a more precise solution.

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