Mathematics: 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

F(x)=x+1 g(x)=2xg(f(x))=2(x+1)g(f(x))=2x+2...

Which is equivalent to (negative 2 m + 5 n) squared,

djj94

27.07.2020

The answer is C.

(2m + 5n)² = (2m + 5n)(2m + 5n)

Each term in the second factor is multiplied by each term in the first factor, that is

2m(2m + 5n) + 5n(2m + 5n) ← distribute both parenthesis

= 4m² + 10mn + 10mn + 25n² ← collect like terms

= 4m² + 20mn + 25n² ← perfect square trinomial

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