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Which is equivalent to (negative 2 m 5 n) squared, and what type of special product is it? 4 m squared 25 n squared; a perfect square trinomial 4 m squared 25 n squared; the difference of squares 4 m squared minus 20 m n 25 n squared; a perfect square trinomial 4 m squared minus 20 m n 25 n squared; the difference of squares.

Respuesta :

Answer:

81y4 -16x, the difference of squares.

(5n-2m)² is the equivalent to the 25n² - 20mn + 4m².

Simplification

Simplification is to make something easier to do or understand and to make something less complicated.

Given

(-2m+5n)² is the expression.

To find

The equivalent of the given expression.

How to find the equivalent to the given equation?

(-2m+5n)² is the expression that can be written as (5n-2m)².

We know the formula

(a-b)² = a²+2ab+b²

Then

(5n-2m)² = (5n)² - 2(5n)(2m) + (2m)²

(5n-2m)² = 25n² - 20mn + 4m²

Hence (5n-2m)² is the equivalent to 25n² - 20mn + 4m².

Thus, (5n-2m)² is the equivalent to 25n² - 20mn + 4m².

More about the simplification link is given below.

https://brainly.com/question/11479469

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