the equation $x^{2}+2mx+m^{2}$ simplifies to $(x+m)^{2}$, demonstrating…

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$the equation $x^{2}+2mx+m^{2}$ simplifies to $(x+m)^{2}$, demonstrating…$

Question

the equation $x^{2}+2mx+m^{2}$ simplifies to $(x+m)^{2}$, demonstrating the basic structure of a ______ trinomial.

Explanation:

Brief Explanations

The trinomial $x^2 + 2mx + m^2$ fits the form of a perfect square trinomial, which factors to the square of a binomial $(x+m)^2$, matching the given simplification.

Answer:

Perfect Square