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# Solve the equation $\left(x-2y\right)^2=x^2-4xy+4y^2$

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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for x
• Solve for y
• Find the derivative
• Solve by implicit differentiation
• Solve for y'
• Find dy/dx
• Derivative
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
Can't find a method? Tell us so we can add it.
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The trinomial $x^2-4xy+4y^2$ is a perfect square trinomial, because it's discriminant is equal to zero

$\Delta=b^2-4ac=-4^2-4\left(1\right)\left(4\right) = 0$

Learn how to solve equations problems step by step online.

$\Delta=b^2-4ac=-4^2-4\left(1\right)\left(4\right) = 0$

Learn how to solve equations problems step by step online. Solve the equation (x-2y)^2=x^2-4xy4y^2. The trinomial x^2-4xy+4y^2 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. If the bases are the same, then the exponents must be equal to each other.

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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.