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

Step-by-step Solution

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Final answer to the problem

true

Step-by-step Solution

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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 special products problems step by step online.

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

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Learn how to solve special products 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.

Final answer to the problem

true

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Function Plot

Plotting: $true$

Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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